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Finding the Fourth Proportional to 7,758.97, 10,709.39 and 4,927.70

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Solution

The fourth proportional to 7,758.97, 10,709.39 and 4,927.70 is: 6,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.97 : 10,709.39 = 4,927.70 : x
  2. Step 2: Convert to fraction form
    7,758.97/10,709.39 = 4,927.70/x
  3. Step 3: Cross multiply
    7,758.97x = 10,709.39 × 4,927.70
  4. Step 4: Simplify right side
    7,758.97x = 52,772,700.20
  5. Step 5: Solve for x
    x = 52,772,700.20/7,758.97
  6. Step 6: Final answer
    x = 6,801.51

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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.