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Finding the Fourth Proportional to 28,714, 39,624.60 and 15,967.20

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Solution

The fourth proportional to 28,714, 39,624.60 and 15,967.20 is: 22,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,714 : 39,624.60 = 15,967.20 : x
  2. Step 2: Convert to fraction form
    28,714/39,624.60 = 15,967.20/x
  3. Step 3: Cross multiply
    28,714x = 39,624.60 × 15,967.20
  4. Step 4: Simplify right side
    28,714x = 632,693,913.12
  5. Step 5: Solve for x
    x = 632,693,913.12/28,714
  6. Step 6: Final answer
    x = 22,034.34

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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.