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Finding the Fourth Proportional to 28,498.87, 42,749.18 and 9,778.65

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Solution

The fourth proportional to 28,498.87, 42,749.18 and 9,778.65 is: 14,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498.87 : 42,749.18 = 9,778.65 : x
  2. Step 2: Convert to fraction form
    28,498.87/42,749.18 = 9,778.65/x
  3. Step 3: Cross multiply
    28,498.87x = 42,749.18 × 9,778.65
  4. Step 4: Simplify right side
    28,498.87x = 418,029,269.01
  5. Step 5: Solve for x
    x = 418,029,269.01/28,498.87
  6. Step 6: Final answer
    x = 14,668.28

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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.