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Finding the Fourth Proportional to 2,810.42, 4,215.63 and 862.61

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Solution

The fourth proportional to 2,810.42, 4,215.63 and 862.61 is: 1,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.42 : 4,215.63 = 862.61 : x
  2. Step 2: Convert to fraction form
    2,810.42/4,215.63 = 862.61/x
  3. Step 3: Cross multiply
    2,810.42x = 4,215.63 × 862.61
  4. Step 4: Simplify right side
    2,810.42x = 3,636,423.52
  5. Step 5: Solve for x
    x = 3,636,423.52/2,810.42
  6. Step 6: Final answer
    x = 1,293.91

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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.