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Finding the Fourth Proportional to 2,599.94, 3,587.87 and 1,421.00

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Solution

The fourth proportional to 2,599.94, 3,587.87 and 1,421.00 is: 1,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.94 : 3,587.87 = 1,421.00 : x
  2. Step 2: Convert to fraction form
    2,599.94/3,587.87 = 1,421.00/x
  3. Step 3: Cross multiply
    2,599.94x = 3,587.87 × 1,421.00
  4. Step 4: Simplify right side
    2,599.94x = 5,098,375.79
  5. Step 5: Solve for x
    x = 5,098,375.79/2,599.94
  6. Step 6: Final answer
    x = 1,960.96

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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.