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Finding the Fourth Proportional to 13,456.14, 18,578.01 and 9,913.20

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Solution

The fourth proportional to 13,456.14, 18,578.01 and 9,913.20 is: 13,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.14 : 18,578.01 = 9,913.20 : x
  2. Step 2: Convert to fraction form
    13,456.14/18,578.01 = 9,913.20/x
  3. Step 3: Cross multiply
    13,456.14x = 18,578.01 × 9,913.20
  4. Step 4: Simplify right side
    13,456.14x = 184,167,528.73
  5. Step 5: Solve for x
    x = 184,167,528.73/13,456.14
  6. Step 6: Final answer
    x = 13,686.51

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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.