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Finding the Fourth Proportional to 8,365.16, 12,547.74 and 7,967

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Solution

The fourth proportional to 8,365.16, 12,547.74 and 7,967 is: 11,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.16 : 12,547.74 = 7,967 : x
  2. Step 2: Convert to fraction form
    8,365.16/12,547.74 = 7,967/x
  3. Step 3: Cross multiply
    8,365.16x = 12,547.74 × 7,967
  4. Step 4: Simplify right side
    8,365.16x = 99,967,844.58
  5. Step 5: Solve for x
    x = 99,967,844.58/8,365.16
  6. Step 6: Final answer
    x = 11,950.50

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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.