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Finding the Fourth Proportional to 28,459.50, 42,689.25 and 9,978.54

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Solution

The fourth proportional to 28,459.50, 42,689.25 and 9,978.54 is: 14,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,459.50 : 42,689.25 = 9,978.54 : x
  2. Step 2: Convert to fraction form
    28,459.50/42,689.25 = 9,978.54/x
  3. Step 3: Cross multiply
    28,459.50x = 42,689.25 × 9,978.54
  4. Step 4: Simplify right side
    28,459.50x = 425,976,388.70
  5. Step 5: Solve for x
    x = 425,976,388.70/28,459.50
  6. Step 6: Final answer
    x = 14,967.81

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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.