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Finding the Fourth Proportional to 13,691.84, 20,574.24 and 7,456.48

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Solution

The fourth proportional to 13,691.84, 20,574.24 and 7,456.48 is: 11,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.84 : 20,574.24 = 7,456.48 : x
  2. Step 2: Convert to fraction form
    13,691.84/20,574.24 = 7,456.48/x
  3. Step 3: Cross multiply
    13,691.84x = 20,574.24 × 7,456.48
  4. Step 4: Simplify right side
    13,691.84x = 153,411,409.08
  5. Step 5: Solve for x
    x = 153,411,409.08/13,691.84
  6. Step 6: Final answer
    x = 11,204.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.