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Finding the Fourth Proportional to 9,926.16, 13,695.28 and 6,391.42

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Solution

The fourth proportional to 9,926.16, 13,695.28 and 6,391.42 is: 8,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.16 : 13,695.28 = 6,391.42 : x
  2. Step 2: Convert to fraction form
    9,926.16/13,695.28 = 6,391.42/x
  3. Step 3: Cross multiply
    9,926.16x = 13,695.28 × 6,391.42
  4. Step 4: Simplify right side
    9,926.16x = 87,532,286.50
  5. Step 5: Solve for x
    x = 87,532,286.50/9,926.16
  6. Step 6: Final answer
    x = 8,818.34

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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.