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Finding the Fourth Proportional to 10,627.64, 15,938.22 and 8,542.70

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Solution

The fourth proportional to 10,627.64, 15,938.22 and 8,542.70 is: 12,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.64 : 15,938.22 = 8,542.70 : x
  2. Step 2: Convert to fraction form
    10,627.64/15,938.22 = 8,542.70/x
  3. Step 3: Cross multiply
    10,627.64x = 15,938.22 × 8,542.70
  4. Step 4: Simplify right side
    10,627.64x = 136,155,431.99
  5. Step 5: Solve for x
    x = 136,155,431.99/10,627.64
  6. Step 6: Final answer
    x = 12,811.45

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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.