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Finding the Fourth Proportional to 19,429, 29,140.98 and 6,280.04

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Solution

The fourth proportional to 19,429, 29,140.98 and 6,280.04 is: 9,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429 : 29,140.98 = 6,280.04 : x
  2. Step 2: Convert to fraction form
    19,429/29,140.98 = 6,280.04/x
  3. Step 3: Cross multiply
    19,429x = 29,140.98 × 6,280.04
  4. Step 4: Simplify right side
    19,429x = 183,006,520.04
  5. Step 5: Solve for x
    x = 183,006,520.04/19,429
  6. Step 6: Final answer
    x = 9,419.25

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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.