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Finding the Fourth Proportional to 2,810.77, 4,216.86 and 862.92

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Solution

The fourth proportional to 2,810.77, 4,216.86 and 862.92 is: 1,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.77 : 4,216.86 = 862.92 : x
  2. Step 2: Convert to fraction form
    2,810.77/4,216.86 = 862.92/x
  3. Step 3: Cross multiply
    2,810.77x = 4,216.86 × 862.92
  4. Step 4: Simplify right side
    2,810.77x = 3,638,812.83
  5. Step 5: Solve for x
    x = 3,638,812.83/2,810.77
  6. Step 6: Final answer
    x = 1,294.60

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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.