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Finding the Fourth Proportional to 28,280.76, 42,407.64 and 10,505.76

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Solution

The fourth proportional to 28,280.76, 42,407.64 and 10,505.76 is: 15,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280.76 : 42,407.64 = 10,505.76 : x
  2. Step 2: Convert to fraction form
    28,280.76/42,407.64 = 10,505.76/x
  3. Step 3: Cross multiply
    28,280.76x = 42,407.64 × 10,505.76
  4. Step 4: Simplify right side
    28,280.76x = 445,524,488.01
  5. Step 5: Solve for x
    x = 445,524,488.01/28,280.76
  6. Step 6: Final answer
    x = 15,753.63

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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.