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Finding the Fourth Proportional to 7,291, 10,062.12 and 4,148.20

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Solution

The fourth proportional to 7,291, 10,062.12 and 4,148.20 is: 5,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291 : 10,062.12 = 4,148.20 : x
  2. Step 2: Convert to fraction form
    7,291/10,062.12 = 4,148.20/x
  3. Step 3: Cross multiply
    7,291x = 10,062.12 × 4,148.20
  4. Step 4: Simplify right side
    7,291x = 41,739,686.18
  5. Step 5: Solve for x
    x = 41,739,686.18/7,291
  6. Step 6: Final answer
    x = 5,724.82

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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.