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Finding the Fourth Proportional to 28,133.92, 42,193.50 and 8,407.81

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Solution

The fourth proportional to 28,133.92, 42,193.50 and 8,407.81 is: 12,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,133.92 : 42,193.50 = 8,407.81 : x
  2. Step 2: Convert to fraction form
    28,133.92/42,193.50 = 8,407.81/x
  3. Step 3: Cross multiply
    28,133.92x = 42,193.50 × 8,407.81
  4. Step 4: Simplify right side
    28,133.92x = 354,754,931.24
  5. Step 5: Solve for x
    x = 354,754,931.24/28,133.92
  6. Step 6: Final answer
    x = 12,609.51

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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.