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Finding the Fourth Proportional to 4,689.76, 6,472.16 and 2,801.92

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Solution

The fourth proportional to 4,689.76, 6,472.16 and 2,801.92 is: 3,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.76 : 6,472.16 = 2,801.92 : x
  2. Step 2: Convert to fraction form
    4,689.76/6,472.16 = 2,801.92/x
  3. Step 3: Cross multiply
    4,689.76x = 6,472.16 × 2,801.92
  4. Step 4: Simplify right side
    4,689.76x = 18,134,474.55
  5. Step 5: Solve for x
    x = 18,134,474.55/4,689.76
  6. Step 6: Final answer
    x = 3,866.82

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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.