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Finding the Fourth Proportional to 13,146.48, 18,142 and 7,178.13

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Solution

The fourth proportional to 13,146.48, 18,142 and 7,178.13 is: 9,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.48 : 18,142 = 7,178.13 : x
  2. Step 2: Convert to fraction form
    13,146.48/18,142 = 7,178.13/x
  3. Step 3: Cross multiply
    13,146.48x = 18,142 × 7,178.13
  4. Step 4: Simplify right side
    13,146.48x = 130,225,634.46
  5. Step 5: Solve for x
    x = 130,225,634.46/13,146.48
  6. Step 6: Final answer
    x = 9,905.74

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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.