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Finding the Fourth Proportional to 13,373.68, 18,456.36 and 7,406

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Solution

The fourth proportional to 13,373.68, 18,456.36 and 7,406 is: 10,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.68 : 18,456.36 = 7,406 : x
  2. Step 2: Convert to fraction form
    13,373.68/18,456.36 = 7,406/x
  3. Step 3: Cross multiply
    13,373.68x = 18,456.36 × 7,406
  4. Step 4: Simplify right side
    13,373.68x = 136,687,802.16
  5. Step 5: Solve for x
    x = 136,687,802.16/13,373.68
  6. Step 6: Final answer
    x = 10,220.66

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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.