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Finding the Fourth Proportional to 7,758.34, 11,549.75 and 7,712.20

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Solution

The fourth proportional to 7,758.34, 11,549.75 and 7,712.20 is: 11,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.34 : 11,549.75 = 7,712.20 : x
  2. Step 2: Convert to fraction form
    7,758.34/11,549.75 = 7,712.20/x
  3. Step 3: Cross multiply
    7,758.34x = 11,549.75 × 7,712.20
  4. Step 4: Simplify right side
    7,758.34x = 89,073,981.95
  5. Step 5: Solve for x
    x = 89,073,981.95/7,758.34
  6. Step 6: Final answer
    x = 11,481.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.