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Finding the Fourth Proportional to 12,640.64, 18,967.36 and 8,528

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Solution

The fourth proportional to 12,640.64, 18,967.36 and 8,528 is: 12,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.64 : 18,967.36 = 8,528 : x
  2. Step 2: Convert to fraction form
    12,640.64/18,967.36 = 8,528/x
  3. Step 3: Cross multiply
    12,640.64x = 18,967.36 × 8,528
  4. Step 4: Simplify right side
    12,640.64x = 161,753,646.08
  5. Step 5: Solve for x
    x = 161,753,646.08/12,640.64
  6. Step 6: Final answer
    x = 12,796.32

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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.