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Finding the Fourth Proportional to 6,508, 9,758.94 and 2,807.92

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Solution

The fourth proportional to 6,508, 9,758.94 and 2,807.92 is: 4,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 9,758.94 = 2,807.92 : x
  2. Step 2: Convert to fraction form
    6,508/9,758.94 = 2,807.92/x
  3. Step 3: Cross multiply
    6,508x = 9,758.94 × 2,807.92
  4. Step 4: Simplify right side
    6,508x = 27,402,322.80
  5. Step 5: Solve for x
    x = 27,402,322.80/6,508
  6. Step 6: Final answer
    x = 4,210.56

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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.