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Finding the Fourth Proportional to 13,429.68, 18,532.68 and 7,461

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Solution

The fourth proportional to 13,429.68, 18,532.68 and 7,461 is: 10,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.68 : 18,532.68 = 7,461 : x
  2. Step 2: Convert to fraction form
    13,429.68/18,532.68 = 7,461/x
  3. Step 3: Cross multiply
    13,429.68x = 18,532.68 × 7,461
  4. Step 4: Simplify right side
    13,429.68x = 138,272,325.48
  5. Step 5: Solve for x
    x = 138,272,325.48/13,429.68
  6. Step 6: Final answer
    x = 10,296.03

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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.