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Finding the Fourth Proportional to 7,146.40, 9,928.15 and 7,082.32

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Solution

The fourth proportional to 7,146.40, 9,928.15 and 7,082.32 is: 9,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.40 : 9,928.15 = 7,082.32 : x
  2. Step 2: Convert to fraction form
    7,146.40/9,928.15 = 7,082.32/x
  3. Step 3: Cross multiply
    7,146.40x = 9,928.15 × 7,082.32
  4. Step 4: Simplify right side
    7,146.40x = 70,314,335.31
  5. Step 5: Solve for x
    x = 70,314,335.31/7,146.40
  6. Step 6: Final answer
    x = 9,839.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.