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Finding the Fourth Proportional to 19,710.88, 29,581.36 and 7,242.72

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Solution

The fourth proportional to 19,710.88, 29,581.36 and 7,242.72 is: 10,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.88 : 29,581.36 = 7,242.72 : x
  2. Step 2: Convert to fraction form
    19,710.88/29,581.36 = 7,242.72/x
  3. Step 3: Cross multiply
    19,710.88x = 29,581.36 × 7,242.72
  4. Step 4: Simplify right side
    19,710.88x = 214,249,507.70
  5. Step 5: Solve for x
    x = 214,249,507.70/19,710.88
  6. Step 6: Final answer
    x = 10,869.61

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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.