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Finding the Fourth Proportional to 5,681.28, 8,534.88 and 5,448

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Solution

The fourth proportional to 5,681.28, 8,534.88 and 5,448 is: 8,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.28 : 8,534.88 = 5,448 : x
  2. Step 2: Convert to fraction form
    5,681.28/8,534.88 = 5,448/x
  3. Step 3: Cross multiply
    5,681.28x = 8,534.88 × 5,448
  4. Step 4: Simplify right side
    5,681.28x = 46,498,026.24
  5. Step 5: Solve for x
    x = 46,498,026.24/5,681.28
  6. Step 6: Final answer
    x = 8,184.43

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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.