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Finding the Fourth Proportional to 2,810.61, 4,215.51 and 862.83

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Solution

The fourth proportional to 2,810.61, 4,215.51 and 862.83 is: 1,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.61 : 4,215.51 = 862.83 : x
  2. Step 2: Convert to fraction form
    2,810.61/4,215.51 = 862.83/x
  3. Step 3: Cross multiply
    2,810.61x = 4,215.51 × 862.83
  4. Step 4: Simplify right side
    2,810.61x = 3,637,268.49
  5. Step 5: Solve for x
    x = 3,637,268.49/2,810.61
  6. Step 6: Final answer
    x = 1,294.12

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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.