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Finding the Fourth Proportional to 13,897, 19,177.86 and 7,609.39

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Solution

The fourth proportional to 13,897, 19,177.86 and 7,609.39 is: 10,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897 : 19,177.86 = 7,609.39 : x
  2. Step 2: Convert to fraction form
    13,897/19,177.86 = 7,609.39/x
  3. Step 3: Cross multiply
    13,897x = 19,177.86 × 7,609.39
  4. Step 4: Simplify right side
    13,897x = 145,931,816.11
  5. Step 5: Solve for x
    x = 145,931,816.11/13,897
  6. Step 6: Final answer
    x = 10,500.96

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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.