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Finding the Fourth Proportional to 13,609.74, 18,781.52 and 7,641.48

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Solution

The fourth proportional to 13,609.74, 18,781.52 and 7,641.48 is: 10,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.74 : 18,781.52 = 7,641.48 : x
  2. Step 2: Convert to fraction form
    13,609.74/18,781.52 = 7,641.48/x
  3. Step 3: Cross multiply
    13,609.74x = 18,781.52 × 7,641.48
  4. Step 4: Simplify right side
    13,609.74x = 143,518,571.24
  5. Step 5: Solve for x
    x = 143,518,571.24/13,609.74
  6. Step 6: Final answer
    x = 10,545.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.