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Finding the Fourth Proportional to 5,777.52, 7,965.72 and 4,289.28

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Solution

The fourth proportional to 5,777.52, 7,965.72 and 4,289.28 is: 5,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.52 : 7,965.72 = 4,289.28 : x
  2. Step 2: Convert to fraction form
    5,777.52/7,965.72 = 4,289.28/x
  3. Step 3: Cross multiply
    5,777.52x = 7,965.72 × 4,289.28
  4. Step 4: Simplify right side
    5,777.52x = 34,167,203.48
  5. Step 5: Solve for x
    x = 34,167,203.48/5,777.52
  6. Step 6: Final answer
    x = 5,913.82

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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.