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Finding the Fourth Proportional to 13,390.66, 18,480 and 7,422.58

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Solution

The fourth proportional to 13,390.66, 18,480 and 7,422.58 is: 10,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.66 : 18,480 = 7,422.58 : x
  2. Step 2: Convert to fraction form
    13,390.66/18,480 = 7,422.58/x
  3. Step 3: Cross multiply
    13,390.66x = 18,480 × 7,422.58
  4. Step 4: Simplify right side
    13,390.66x = 137,169,278.40
  5. Step 5: Solve for x
    x = 137,169,278.40/13,390.66
  6. Step 6: Final answer
    x = 10,243.65

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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.