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Finding the Fourth Proportional to 9,931.42, 14,891.43 and 7,679.14

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Solution

The fourth proportional to 9,931.42, 14,891.43 and 7,679.14 is: 11,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.42 : 14,891.43 = 7,679.14 : x
  2. Step 2: Convert to fraction form
    9,931.42/14,891.43 = 7,679.14/x
  3. Step 3: Cross multiply
    9,931.42x = 14,891.43 × 7,679.14
  4. Step 4: Simplify right side
    9,931.42x = 114,353,375.77
  5. Step 5: Solve for x
    x = 114,353,375.77/9,931.42
  6. Step 6: Final answer
    x = 11,514.30

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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.