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Finding the Fourth Proportional to 9,311.79, 12,848.58 and 7,540.32

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Solution

The fourth proportional to 9,311.79, 12,848.58 and 7,540.32 is: 10,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.79 : 12,848.58 = 7,540.32 : x
  2. Step 2: Convert to fraction form
    9,311.79/12,848.58 = 7,540.32/x
  3. Step 3: Cross multiply
    9,311.79x = 12,848.58 × 7,540.32
  4. Step 4: Simplify right side
    9,311.79x = 96,882,404.75
  5. Step 5: Solve for x
    x = 96,882,404.75/9,311.79
  6. Step 6: Final answer
    x = 10,404.27

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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.