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Finding the Fourth Proportional to 13,590.10, 20,385.76 and 7,029.10

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Solution

The fourth proportional to 13,590.10, 20,385.76 and 7,029.10 is: 10,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.10 : 20,385.76 = 7,029.10 : x
  2. Step 2: Convert to fraction form
    13,590.10/20,385.76 = 7,029.10/x
  3. Step 3: Cross multiply
    13,590.10x = 20,385.76 × 7,029.10
  4. Step 4: Simplify right side
    13,590.10x = 143,293,545.62
  5. Step 5: Solve for x
    x = 143,293,545.62/13,590.10
  6. Step 6: Final answer
    x = 10,543.97

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1.5x scale

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.