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Finding the Fourth Proportional to 19,114.60, 28,675.68 and 7,429

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Solution

The fourth proportional to 19,114.60, 28,675.68 and 7,429 is: 11,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.60 : 28,675.68 = 7,429 : x
  2. Step 2: Convert to fraction form
    19,114.60/28,675.68 = 7,429/x
  3. Step 3: Cross multiply
    19,114.60x = 28,675.68 × 7,429
  4. Step 4: Simplify right side
    19,114.60x = 213,031,626.72
  5. Step 5: Solve for x
    x = 213,031,626.72/19,114.60
  6. Step 6: Final answer
    x = 11,144.97

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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.