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Finding the Fourth Proportional to 1,618.50, 2,234.72 and 1,432.20

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Solution

The fourth proportional to 1,618.50, 2,234.72 and 1,432.20 is: 1,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.50 : 2,234.72 = 1,432.20 : x
  2. Step 2: Convert to fraction form
    1,618.50/2,234.72 = 1,432.20/x
  3. Step 3: Cross multiply
    1,618.50x = 2,234.72 × 1,432.20
  4. Step 4: Simplify right side
    1,618.50x = 3,200,565.98
  5. Step 5: Solve for x
    x = 3,200,565.98/1,618.50
  6. Step 6: Final answer
    x = 1,977.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.