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Finding the Fourth Proportional to 9,681.75, 13,363.62 and 6,278.67

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Solution

The fourth proportional to 9,681.75, 13,363.62 and 6,278.67 is: 8,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.75 : 13,363.62 = 6,278.67 : x
  2. Step 2: Convert to fraction form
    9,681.75/13,363.62 = 6,278.67/x
  3. Step 3: Cross multiply
    9,681.75x = 13,363.62 × 6,278.67
  4. Step 4: Simplify right side
    9,681.75x = 83,905,759.99
  5. Step 5: Solve for x
    x = 83,905,759.99/9,681.75
  6. Step 6: Final answer
    x = 8,666.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.