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Finding the Fourth Proportional to 3,807.64, 5,702.14 and 3,438.28

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Solution

The fourth proportional to 3,807.64, 5,702.14 and 3,438.28 is: 5,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.64 : 5,702.14 = 3,438.28 : x
  2. Step 2: Convert to fraction form
    3,807.64/5,702.14 = 3,438.28/x
  3. Step 3: Cross multiply
    3,807.64x = 5,702.14 × 3,438.28
  4. Step 4: Simplify right side
    3,807.64x = 19,605,553.92
  5. Step 5: Solve for x
    x = 19,605,553.92/3,807.64
  6. Step 6: Final answer
    x = 5,149.00

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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.