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Finding the Fourth Proportional to 1,630.32, 2,250.34 and 1,411.62

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Solution

The fourth proportional to 1,630.32, 2,250.34 and 1,411.62 is: 1,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.32 : 2,250.34 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    1,630.32/2,250.34 = 1,411.62/x
  3. Step 3: Cross multiply
    1,630.32x = 2,250.34 × 1,411.62
  4. Step 4: Simplify right side
    1,630.32x = 3,176,624.95
  5. Step 5: Solve for x
    x = 3,176,624.95/1,630.32
  6. Step 6: Final answer
    x = 1,948.47

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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.