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Finding the Fourth Proportional to 28,657.24, 42,978.57 and 11,117.50

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Solution

The fourth proportional to 28,657.24, 42,978.57 and 11,117.50 is: 16,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657.24 : 42,978.57 = 11,117.50 : x
  2. Step 2: Convert to fraction form
    28,657.24/42,978.57 = 11,117.50/x
  3. Step 3: Cross multiply
    28,657.24x = 42,978.57 × 11,117.50
  4. Step 4: Simplify right side
    28,657.24x = 477,814,251.98
  5. Step 5: Solve for x
    x = 477,814,251.98/28,657.24
  6. Step 6: Final answer
    x = 16,673.42

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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.