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Finding the Fourth Proportional to 2,319.77, 3,200.10 and 1,573.76

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Solution

The fourth proportional to 2,319.77, 3,200.10 and 1,573.76 is: 2,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.77 : 3,200.10 = 1,573.76 : x
  2. Step 2: Convert to fraction form
    2,319.77/3,200.10 = 1,573.76/x
  3. Step 3: Cross multiply
    2,319.77x = 3,200.10 × 1,573.76
  4. Step 4: Simplify right side
    2,319.77x = 5,036,189.38
  5. Step 5: Solve for x
    x = 5,036,189.38/2,319.77
  6. Step 6: Final answer
    x = 2,170.99

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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.