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Finding the Fourth Proportional to 19,567.68, 29,357 and 6,429.28

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Solution

The fourth proportional to 19,567.68, 29,357 and 6,429.28 is: 9,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.68 : 29,357 = 6,429.28 : x
  2. Step 2: Convert to fraction form
    19,567.68/29,357 = 6,429.28/x
  3. Step 3: Cross multiply
    19,567.68x = 29,357 × 6,429.28
  4. Step 4: Simplify right side
    19,567.68x = 188,744,372.96
  5. Step 5: Solve for x
    x = 188,744,372.96/19,567.68
  6. Step 6: Final answer
    x = 9,645.72

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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.