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Finding the Fourth Proportional to 10,257.80, 15,386.70 and 9,609.80

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Solution

The fourth proportional to 10,257.80, 15,386.70 and 9,609.80 is: 14,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.80 : 15,386.70 = 9,609.80 : x
  2. Step 2: Convert to fraction form
    10,257.80/15,386.70 = 9,609.80/x
  3. Step 3: Cross multiply
    10,257.80x = 15,386.70 × 9,609.80
  4. Step 4: Simplify right side
    10,257.80x = 147,863,109.66
  5. Step 5: Solve for x
    x = 147,863,109.66/10,257.80
  6. Step 6: Final answer
    x = 14,414.70

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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.