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Finding the Fourth Proportional to 11,523.98, 15,898.76 and 6,742.40

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Solution

The fourth proportional to 11,523.98, 15,898.76 and 6,742.40 is: 9,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.98 : 15,898.76 = 6,742.40 : x
  2. Step 2: Convert to fraction form
    11,523.98/15,898.76 = 6,742.40/x
  3. Step 3: Cross multiply
    11,523.98x = 15,898.76 × 6,742.40
  4. Step 4: Simplify right side
    11,523.98x = 107,195,799.42
  5. Step 5: Solve for x
    x = 107,195,799.42/11,523.98
  6. Step 6: Final answer
    x = 9,301.98

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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.