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Finding the Fourth Proportional to 2,762.18, 4,142 and 912.96

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Solution

The fourth proportional to 2,762.18, 4,142 and 912.96 is: 1,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.18 : 4,142 = 912.96 : x
  2. Step 2: Convert to fraction form
    2,762.18/4,142 = 912.96/x
  3. Step 3: Cross multiply
    2,762.18x = 4,142 × 912.96
  4. Step 4: Simplify right side
    2,762.18x = 3,781,480.32
  5. Step 5: Solve for x
    x = 3,781,480.32/2,762.18
  6. Step 6: Final answer
    x = 1,369.02

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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.