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Finding the Fourth Proportional to 8,363.16, 12,544.74 and 7,965

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Solution

The fourth proportional to 8,363.16, 12,544.74 and 7,965 is: 11,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.16 : 12,544.74 = 7,965 : x
  2. Step 2: Convert to fraction form
    8,363.16/12,544.74 = 7,965/x
  3. Step 3: Cross multiply
    8,363.16x = 12,544.74 × 7,965
  4. Step 4: Simplify right side
    8,363.16x = 99,918,854.10
  5. Step 5: Solve for x
    x = 99,918,854.10/8,363.16
  6. Step 6: Final answer
    x = 11,947.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.