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Finding the Fourth Proportional to 6,799.75, 9,376.76 and 6,402.90

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Solution

The fourth proportional to 6,799.75, 9,376.76 and 6,402.90 is: 8,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.75 : 9,376.76 = 6,402.90 : x
  2. Step 2: Convert to fraction form
    6,799.75/9,376.76 = 6,402.90/x
  3. Step 3: Cross multiply
    6,799.75x = 9,376.76 × 6,402.90
  4. Step 4: Simplify right side
    6,799.75x = 60,038,455.03
  5. Step 5: Solve for x
    x = 60,038,455.03/6,799.75
  6. Step 6: Final answer
    x = 8,829.51

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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.