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Finding the Fourth Proportional to 13,348, 18,420.24 and 7,460

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Solution

The fourth proportional to 13,348, 18,420.24 and 7,460 is: 10,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348 : 18,420.24 = 7,460 : x
  2. Step 2: Convert to fraction form
    13,348/18,420.24 = 7,460/x
  3. Step 3: Cross multiply
    13,348x = 18,420.24 × 7,460
  4. Step 4: Simplify right side
    13,348x = 137,414,990.40
  5. Step 5: Solve for x
    x = 137,414,990.40/13,348
  6. Step 6: Final answer
    x = 10,294.80

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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.