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Finding the Fourth Proportional to 5,214.64, 7,815.40 and 3,726.12

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Solution

The fourth proportional to 5,214.64, 7,815.40 and 3,726.12 is: 5,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.64 : 7,815.40 = 3,726.12 : x
  2. Step 2: Convert to fraction form
    5,214.64/7,815.40 = 3,726.12/x
  3. Step 3: Cross multiply
    5,214.64x = 7,815.40 × 3,726.12
  4. Step 4: Simplify right side
    5,214.64x = 29,121,118.25
  5. Step 5: Solve for x
    x = 29,121,118.25/5,214.64
  6. Step 6: Final answer
    x = 5,584.49

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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.