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Finding the Fourth Proportional to 9,013.10, 13,523.70 and 4,080.20

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Solution

The fourth proportional to 9,013.10, 13,523.70 and 4,080.20 is: 6,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.10 : 13,523.70 = 4,080.20 : x
  2. Step 2: Convert to fraction form
    9,013.10/13,523.70 = 4,080.20/x
  3. Step 3: Cross multiply
    9,013.10x = 13,523.70 × 4,080.20
  4. Step 4: Simplify right side
    9,013.10x = 55,179,400.74
  5. Step 5: Solve for x
    x = 55,179,400.74/9,013.10
  6. Step 6: Final answer
    x = 6,122.13

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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.