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Finding the Fourth Proportional to 4,695.50, 6,472.80 and 3,698.78

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Solution

The fourth proportional to 4,695.50, 6,472.80 and 3,698.78 is: 5,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.50 : 6,472.80 = 3,698.78 : x
  2. Step 2: Convert to fraction form
    4,695.50/6,472.80 = 3,698.78/x
  3. Step 3: Cross multiply
    4,695.50x = 6,472.80 × 3,698.78
  4. Step 4: Simplify right side
    4,695.50x = 23,941,463.18
  5. Step 5: Solve for x
    x = 23,941,463.18/4,695.50
  6. Step 6: Final answer
    x = 5,098.81

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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.