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Finding the Fourth Proportional to 9,982.60, 14,957.70 and 6,278.20

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Solution

The fourth proportional to 9,982.60, 14,957.70 and 6,278.20 is: 9,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.60 : 14,957.70 = 6,278.20 : x
  2. Step 2: Convert to fraction form
    9,982.60/14,957.70 = 6,278.20/x
  3. Step 3: Cross multiply
    9,982.60x = 14,957.70 × 6,278.20
  4. Step 4: Simplify right side
    9,982.60x = 93,907,432.14
  5. Step 5: Solve for x
    x = 93,907,432.14/9,982.60
  6. Step 6: Final answer
    x = 9,407.11

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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.