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Finding the Fourth Proportional to 5,742.88, 8,614.40 and 2,454.32

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Solution

The fourth proportional to 5,742.88, 8,614.40 and 2,454.32 is: 3,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.88 : 8,614.40 = 2,454.32 : x
  2. Step 2: Convert to fraction form
    5,742.88/8,614.40 = 2,454.32/x
  3. Step 3: Cross multiply
    5,742.88x = 8,614.40 × 2,454.32
  4. Step 4: Simplify right side
    5,742.88x = 21,142,494.21
  5. Step 5: Solve for x
    x = 21,142,494.21/5,742.88
  6. Step 6: Final answer
    x = 3,681.51

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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.