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Finding the Fourth Proportional to 1,751.50, 2,619.50 and 1,557.86

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Solution

The fourth proportional to 1,751.50, 2,619.50 and 1,557.86 is: 2,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.50 : 2,619.50 = 1,557.86 : x
  2. Step 2: Convert to fraction form
    1,751.50/2,619.50 = 1,557.86/x
  3. Step 3: Cross multiply
    1,751.50x = 2,619.50 × 1,557.86
  4. Step 4: Simplify right side
    1,751.50x = 4,080,793.38
  5. Step 5: Solve for x
    x = 4,080,793.38/1,751.50
  6. Step 6: Final answer
    x = 2,329.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.