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Finding the Fourth Proportional to 3,992.49, 5,502.47 and 3,248.91

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Solution

The fourth proportional to 3,992.49, 5,502.47 and 3,248.91 is: 4,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.49 : 5,502.47 = 3,248.91 : x
  2. Step 2: Convert to fraction form
    3,992.49/5,502.47 = 3,248.91/x
  3. Step 3: Cross multiply
    3,992.49x = 5,502.47 × 3,248.91
  4. Step 4: Simplify right side
    3,992.49x = 17,877,013.56
  5. Step 5: Solve for x
    x = 17,877,013.56/3,992.49
  6. Step 6: Final answer
    x = 4,477.66

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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.