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Finding the Fourth Proportional to 5,724.88, 7,901.64 and 4,791.76

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Solution

The fourth proportional to 5,724.88, 7,901.64 and 4,791.76 is: 6,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.88 : 7,901.64 = 4,791.76 : x
  2. Step 2: Convert to fraction form
    5,724.88/7,901.64 = 4,791.76/x
  3. Step 3: Cross multiply
    5,724.88x = 7,901.64 × 4,791.76
  4. Step 4: Simplify right side
    5,724.88x = 37,862,762.49
  5. Step 5: Solve for x
    x = 37,862,762.49/5,724.88
  6. Step 6: Final answer
    x = 6,613.72

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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.