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Finding the Fourth Proportional to 19,689.60, 29,523.60 and 7,207.50

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Solution

The fourth proportional to 19,689.60, 29,523.60 and 7,207.50 is: 10,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.60 : 29,523.60 = 7,207.50 : x
  2. Step 2: Convert to fraction form
    19,689.60/29,523.60 = 7,207.50/x
  3. Step 3: Cross multiply
    19,689.60x = 29,523.60 × 7,207.50
  4. Step 4: Simplify right side
    19,689.60x = 212,791,347
  5. Step 5: Solve for x
    x = 212,791,347/19,689.60
  6. Step 6: Final answer
    x = 10,807.30

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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.