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Finding the Fourth Proportional to 7,708.62, 11,560.08 and 2,776.92

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Solution

The fourth proportional to 7,708.62, 11,560.08 and 2,776.92 is: 4,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.62 : 11,560.08 = 2,776.92 : x
  2. Step 2: Convert to fraction form
    7,708.62/11,560.08 = 2,776.92/x
  3. Step 3: Cross multiply
    7,708.62x = 11,560.08 × 2,776.92
  4. Step 4: Simplify right side
    7,708.62x = 32,101,417.35
  5. Step 5: Solve for x
    x = 32,101,417.35/7,708.62
  6. Step 6: Final answer
    x = 4,164.35

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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.