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Finding the Fourth Proportional to 12,294.64, 18,423.28 and 9,009.91

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Solution

The fourth proportional to 12,294.64, 18,423.28 and 9,009.91 is: 13,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.64 : 18,423.28 = 9,009.91 : x
  2. Step 2: Convert to fraction form
    12,294.64/18,423.28 = 9,009.91/x
  3. Step 3: Cross multiply
    12,294.64x = 18,423.28 × 9,009.91
  4. Step 4: Simplify right side
    12,294.64x = 165,992,094.70
  5. Step 5: Solve for x
    x = 165,992,094.70/12,294.64
  6. Step 6: Final answer
    x = 13,501.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.