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Finding the Fourth Proportional to 8,970.38, 12,380.51 and 6,842.31

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Solution

The fourth proportional to 8,970.38, 12,380.51 and 6,842.31 is: 9,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.38 : 12,380.51 = 6,842.31 : x
  2. Step 2: Convert to fraction form
    8,970.38/12,380.51 = 6,842.31/x
  3. Step 3: Cross multiply
    8,970.38x = 12,380.51 × 6,842.31
  4. Step 4: Simplify right side
    8,970.38x = 84,711,258.06
  5. Step 5: Solve for x
    x = 84,711,258.06/8,970.38
  6. Step 6: Final answer
    x = 9,443.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.