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Finding the Fourth Proportional to 2,854.64, 4,284.12 and 2,087.12

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Solution

The fourth proportional to 2,854.64, 4,284.12 and 2,087.12 is: 3,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.64 : 4,284.12 = 2,087.12 : x
  2. Step 2: Convert to fraction form
    2,854.64/4,284.12 = 2,087.12/x
  3. Step 3: Cross multiply
    2,854.64x = 4,284.12 × 2,087.12
  4. Step 4: Simplify right side
    2,854.64x = 8,941,472.53
  5. Step 5: Solve for x
    x = 8,941,472.53/2,854.64
  6. Step 6: Final answer
    x = 3,132.26

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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.