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Finding the Fourth Proportional to 8,637.02, 12,940.95 and 6,902

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Solution

The fourth proportional to 8,637.02, 12,940.95 and 6,902 is: 10,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.02 : 12,940.95 = 6,902 : x
  2. Step 2: Convert to fraction form
    8,637.02/12,940.95 = 6,902/x
  3. Step 3: Cross multiply
    8,637.02x = 12,940.95 × 6,902
  4. Step 4: Simplify right side
    8,637.02x = 89,318,436.90
  5. Step 5: Solve for x
    x = 89,318,436.90/8,637.02
  6. Step 6: Final answer
    x = 10,341.35

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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.