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Finding the Fourth Proportional to 7,801.92, 10,758.29 and 6,374.84

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Solution

The fourth proportional to 7,801.92, 10,758.29 and 6,374.84 is: 8,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.92 : 10,758.29 = 6,374.84 : x
  2. Step 2: Convert to fraction form
    7,801.92/10,758.29 = 6,374.84/x
  3. Step 3: Cross multiply
    7,801.92x = 10,758.29 × 6,374.84
  4. Step 4: Simplify right side
    7,801.92x = 68,582,291.76
  5. Step 5: Solve for x
    x = 68,582,291.76/7,801.92
  6. Step 6: Final answer
    x = 8,790.44

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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.