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Finding the Fourth Proportional to 13,349, 18,421.62 and 7,461

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Solution

The fourth proportional to 13,349, 18,421.62 and 7,461 is: 10,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349 : 18,421.62 = 7,461 : x
  2. Step 2: Convert to fraction form
    13,349/18,421.62 = 7,461/x
  3. Step 3: Cross multiply
    13,349x = 18,421.62 × 7,461
  4. Step 4: Simplify right side
    13,349x = 137,443,706.82
  5. Step 5: Solve for x
    x = 137,443,706.82/13,349
  6. Step 6: Final answer
    x = 10,296.18

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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.