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Finding the Fourth Proportional to 28,575.92, 42,875.12 and 8,856

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Solution

The fourth proportional to 28,575.92, 42,875.12 and 8,856 is: 13,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,575.92 : 42,875.12 = 8,856 : x
  2. Step 2: Convert to fraction form
    28,575.92/42,875.12 = 8,856/x
  3. Step 3: Cross multiply
    28,575.92x = 42,875.12 × 8,856
  4. Step 4: Simplify right side
    28,575.92x = 379,702,062.72
  5. Step 5: Solve for x
    x = 379,702,062.72/28,575.92
  6. Step 6: Final answer
    x = 13,287.48

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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.