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Finding the Fourth Proportional to 1,878.10, 2,815.27 and 889.15

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Solution

The fourth proportional to 1,878.10, 2,815.27 and 889.15 is: 1,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.10 : 2,815.27 = 889.15 : x
  2. Step 2: Convert to fraction form
    1,878.10/2,815.27 = 889.15/x
  3. Step 3: Cross multiply
    1,878.10x = 2,815.27 × 889.15
  4. Step 4: Simplify right side
    1,878.10x = 2,503,197.32
  5. Step 5: Solve for x
    x = 2,503,197.32/1,878.10
  6. Step 6: Final answer
    x = 1,332.83

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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.