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Finding the Fourth Proportional to 2,810.85, 4,216.34 and 862.66

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Solution

The fourth proportional to 2,810.85, 4,216.34 and 862.66 is: 1,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.85 : 4,216.34 = 862.66 : x
  2. Step 2: Convert to fraction form
    2,810.85/4,216.34 = 862.66/x
  3. Step 3: Cross multiply
    2,810.85x = 4,216.34 × 862.66
  4. Step 4: Simplify right side
    2,810.85x = 3,637,267.86
  5. Step 5: Solve for x
    x = 3,637,267.86/2,810.85
  6. Step 6: Final answer
    x = 1,294.01

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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.