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Finding the Fourth Proportional to 2,587.46, 3,880.79 and 944

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Solution

The fourth proportional to 2,587.46, 3,880.79 and 944 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.46 : 3,880.79 = 944 : x
  2. Step 2: Convert to fraction form
    2,587.46/3,880.79 = 944/x
  3. Step 3: Cross multiply
    2,587.46x = 3,880.79 × 944
  4. Step 4: Simplify right side
    2,587.46x = 3,663,465.76
  5. Step 5: Solve for x
    x = 3,663,465.76/2,587.46
  6. Step 6: Final answer
    x = 1,415.85

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Why These Related Problems?

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