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Finding the Fourth Proportional to 7,146.80, 9,862.57 and 4,003.01

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Solution

The fourth proportional to 7,146.80, 9,862.57 and 4,003.01 is: 5,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.80 : 9,862.57 = 4,003.01 : x
  2. Step 2: Convert to fraction form
    7,146.80/9,862.57 = 4,003.01/x
  3. Step 3: Cross multiply
    7,146.80x = 9,862.57 × 4,003.01
  4. Step 4: Simplify right side
    7,146.80x = 39,479,966.34
  5. Step 5: Solve for x
    x = 39,479,966.34/7,146.80
  6. Step 6: Final answer
    x = 5,524.15

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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.