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Finding the Fourth Proportional to 5,691.16, 7,850.10 and 4,015

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Solution

The fourth proportional to 5,691.16, 7,850.10 and 4,015 is: 5,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.16 : 7,850.10 = 4,015 : x
  2. Step 2: Convert to fraction form
    5,691.16/7,850.10 = 4,015/x
  3. Step 3: Cross multiply
    5,691.16x = 7,850.10 × 4,015
  4. Step 4: Simplify right side
    5,691.16x = 31,518,151.50
  5. Step 5: Solve for x
    x = 31,518,151.50/5,691.16
  6. Step 6: Final answer
    x = 5,538.09

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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.