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Finding the Fourth Proportional to 13,398.52, 18,494.76 and 9,146.54

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Solution

The fourth proportional to 13,398.52, 18,494.76 and 9,146.54 is: 12,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.52 : 18,494.76 = 9,146.54 : x
  2. Step 2: Convert to fraction form
    13,398.52/18,494.76 = 9,146.54/x
  3. Step 3: Cross multiply
    13,398.52x = 18,494.76 × 9,146.54
  4. Step 4: Simplify right side
    13,398.52x = 169,163,062.13
  5. Step 5: Solve for x
    x = 169,163,062.13/13,398.52
  6. Step 6: Final answer
    x = 12,625.50

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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.