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Finding the Fourth Proportional to 9,065.40, 13,598.10 and 7,971.90

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Solution

The fourth proportional to 9,065.40, 13,598.10 and 7,971.90 is: 11,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.40 : 13,598.10 = 7,971.90 : x
  2. Step 2: Convert to fraction form
    9,065.40/13,598.10 = 7,971.90/x
  3. Step 3: Cross multiply
    9,065.40x = 13,598.10 × 7,971.90
  4. Step 4: Simplify right side
    9,065.40x = 108,402,693.39
  5. Step 5: Solve for x
    x = 108,402,693.39/9,065.40
  6. Step 6: Final answer
    x = 11,957.85

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Similar ratio
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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.