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Finding the Fourth Proportional to 10,512.93, 15,780.33 and 7,742.73

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Solution

The fourth proportional to 10,512.93, 15,780.33 and 7,742.73 is: 11,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.93 : 15,780.33 = 7,742.73 : x
  2. Step 2: Convert to fraction form
    10,512.93/15,780.33 = 7,742.73/x
  3. Step 3: Cross multiply
    10,512.93x = 15,780.33 × 7,742.73
  4. Step 4: Simplify right side
    10,512.93x = 122,182,834.50
  5. Step 5: Solve for x
    x = 122,182,834.50/10,512.93
  6. Step 6: Final answer
    x = 11,622.15

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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.