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Finding the Fourth Proportional to 12,138.04, 16,746.24 and 9,306.28

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Solution

The fourth proportional to 12,138.04, 16,746.24 and 9,306.28 is: 12,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.04 : 16,746.24 = 9,306.28 : x
  2. Step 2: Convert to fraction form
    12,138.04/16,746.24 = 9,306.28/x
  3. Step 3: Cross multiply
    12,138.04x = 16,746.24 × 9,306.28
  4. Step 4: Simplify right side
    12,138.04x = 155,845,198.39
  5. Step 5: Solve for x
    x = 155,845,198.39/12,138.04
  6. Step 6: Final answer
    x = 12,839.40

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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.