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Finding the Fourth Proportional to 8,390.52, 12,585.14 and 2,547.16

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Solution

The fourth proportional to 8,390.52, 12,585.14 and 2,547.16 is: 3,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.52 : 12,585.14 = 2,547.16 : x
  2. Step 2: Convert to fraction form
    8,390.52/12,585.14 = 2,547.16/x
  3. Step 3: Cross multiply
    8,390.52x = 12,585.14 × 2,547.16
  4. Step 4: Simplify right side
    8,390.52x = 32,056,365.20
  5. Step 5: Solve for x
    x = 32,056,365.20/8,390.52
  6. Step 6: Final answer
    x = 3,820.55

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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.