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Finding the Fourth Proportional to 13,691.78, 18,866.76 and 9,444.14

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Solution

The fourth proportional to 13,691.78, 18,866.76 and 9,444.14 is: 13,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.78 : 18,866.76 = 9,444.14 : x
  2. Step 2: Convert to fraction form
    13,691.78/18,866.76 = 9,444.14/x
  3. Step 3: Cross multiply
    13,691.78x = 18,866.76 × 9,444.14
  4. Step 4: Simplify right side
    13,691.78x = 178,180,322.79
  5. Step 5: Solve for x
    x = 178,180,322.79/13,691.78
  6. Step 6: Final answer
    x = 13,013.67

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1.5x scale

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.