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Finding the Fourth Proportional to 13,060, 18,022.80 and 7,471

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Solution

The fourth proportional to 13,060, 18,022.80 and 7,471 is: 10,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060 : 18,022.80 = 7,471 : x
  2. Step 2: Convert to fraction form
    13,060/18,022.80 = 7,471/x
  3. Step 3: Cross multiply
    13,060x = 18,022.80 × 7,471
  4. Step 4: Simplify right side
    13,060x = 134,648,338.80
  5. Step 5: Solve for x
    x = 134,648,338.80/13,060
  6. Step 6: Final answer
    x = 10,309.98

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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.