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Finding the Fourth Proportional to 7,758.08, 10,709.64 and 4,965.20

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Solution

The fourth proportional to 7,758.08, 10,709.64 and 4,965.20 is: 6,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.08 : 10,709.64 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    7,758.08/10,709.64 = 4,965.20/x
  3. Step 3: Cross multiply
    7,758.08x = 10,709.64 × 4,965.20
  4. Step 4: Simplify right side
    7,758.08x = 53,175,504.53
  5. Step 5: Solve for x
    x = 53,175,504.53/7,758.08
  6. Step 6: Final answer
    x = 6,854.21

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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.