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Finding the Fourth Proportional to 5,695.61, 7,854.19 and 3,807.20

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Solution

The fourth proportional to 5,695.61, 7,854.19 and 3,807.20 is: 5,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.61 : 7,854.19 = 3,807.20 : x
  2. Step 2: Convert to fraction form
    5,695.61/7,854.19 = 3,807.20/x
  3. Step 3: Cross multiply
    5,695.61x = 7,854.19 × 3,807.20
  4. Step 4: Simplify right side
    5,695.61x = 29,902,423.38
  5. Step 5: Solve for x
    x = 29,902,423.38/5,695.61
  6. Step 6: Final answer
    x = 5,250.09

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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.