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Finding the Fourth Proportional to 28,406.92, 42,615.78 and 12,824.50

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Solution

The fourth proportional to 28,406.92, 42,615.78 and 12,824.50 is: 19,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406.92 : 42,615.78 = 12,824.50 : x
  2. Step 2: Convert to fraction form
    28,406.92/42,615.78 = 12,824.50/x
  3. Step 3: Cross multiply
    28,406.92x = 42,615.78 × 12,824.50
  4. Step 4: Simplify right side
    28,406.92x = 546,526,070.61
  5. Step 5: Solve for x
    x = 546,526,070.61/28,406.92
  6. Step 6: Final answer
    x = 19,239.19

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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.