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Finding the Fourth Proportional to 1,425.98, 2,138.45 and 876.50

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Solution

The fourth proportional to 1,425.98, 2,138.45 and 876.50 is: 1,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.98 : 2,138.45 = 876.50 : x
  2. Step 2: Convert to fraction form
    1,425.98/2,138.45 = 876.50/x
  3. Step 3: Cross multiply
    1,425.98x = 2,138.45 × 876.50
  4. Step 4: Simplify right side
    1,425.98x = 1,874,336.35
  5. Step 5: Solve for x
    x = 1,874,336.35/1,425.98
  6. Step 6: Final answer
    x = 1,314.42

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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.