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Finding the Fourth Proportional to 28,287.25, 42,430.88 and 9,819.25

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Solution

The fourth proportional to 28,287.25, 42,430.88 and 9,819.25 is: 14,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.25 : 42,430.88 = 9,819.25 : x
  2. Step 2: Convert to fraction form
    28,287.25/42,430.88 = 9,819.25/x
  3. Step 3: Cross multiply
    28,287.25x = 42,430.88 × 9,819.25
  4. Step 4: Simplify right side
    28,287.25x = 416,639,369.34
  5. Step 5: Solve for x
    x = 416,639,369.34/28,287.25
  6. Step 6: Final answer
    x = 14,728.88

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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.