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Finding the Fourth Proportional to 7,758.48, 11,657.16 and 7,291.92

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Solution

The fourth proportional to 7,758.48, 11,657.16 and 7,291.92 is: 10,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.48 : 11,657.16 = 7,291.92 : x
  2. Step 2: Convert to fraction form
    7,758.48/11,657.16 = 7,291.92/x
  3. Step 3: Cross multiply
    7,758.48x = 11,657.16 × 7,291.92
  4. Step 4: Simplify right side
    7,758.48x = 85,003,078.15
  5. Step 5: Solve for x
    x = 85,003,078.15/7,758.48
  6. Step 6: Final answer
    x = 10,956.15

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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.