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Finding the Fourth Proportional to 11,394, 15,723.72 and 6,426.96

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Solution

The fourth proportional to 11,394, 15,723.72 and 6,426.96 is: 8,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 15,723.72 = 6,426.96 : x
  2. Step 2: Convert to fraction form
    11,394/15,723.72 = 6,426.96/x
  3. Step 3: Cross multiply
    11,394x = 15,723.72 × 6,426.96
  4. Step 4: Simplify right side
    11,394x = 101,055,719.49
  5. Step 5: Solve for x
    x = 101,055,719.49/11,394
  6. Step 6: Final answer
    x = 8,869.20

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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.