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Finding the Fourth Proportional to 6,854.88, 10,282.38 and 1,660.76

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Solution

The fourth proportional to 6,854.88, 10,282.38 and 1,660.76 is: 2,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.88 : 10,282.38 = 1,660.76 : x
  2. Step 2: Convert to fraction form
    6,854.88/10,282.38 = 1,660.76/x
  3. Step 3: Cross multiply
    6,854.88x = 10,282.38 × 1,660.76
  4. Step 4: Simplify right side
    6,854.88x = 17,076,565.41
  5. Step 5: Solve for x
    x = 17,076,565.41/6,854.88
  6. Step 6: Final answer
    x = 2,491.15

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1.5x scale

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.