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Finding the Fourth Proportional to 19,720, 29,565.42 and 6,564.52

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Solution

The fourth proportional to 19,720, 29,565.42 and 6,564.52 is: 9,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 29,565.42 = 6,564.52 : x
  2. Step 2: Convert to fraction form
    19,720/29,565.42 = 6,564.52/x
  3. Step 3: Cross multiply
    19,720x = 29,565.42 × 6,564.52
  4. Step 4: Simplify right side
    19,720x = 194,082,790.90
  5. Step 5: Solve for x
    x = 194,082,790.90/19,720
  6. Step 6: Final answer
    x = 9,841.93

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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.