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Finding the Fourth Proportional to 6,719.76, 9,282.63 and 6,391.74

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Solution

The fourth proportional to 6,719.76, 9,282.63 and 6,391.74 is: 8,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.76 : 9,282.63 = 6,391.74 : x
  2. Step 2: Convert to fraction form
    6,719.76/9,282.63 = 6,391.74/x
  3. Step 3: Cross multiply
    6,719.76x = 9,282.63 × 6,391.74
  4. Step 4: Simplify right side
    6,719.76x = 59,332,157.48
  5. Step 5: Solve for x
    x = 59,332,157.48/6,719.76
  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.