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Finding the Fourth Proportional to 2,810.48, 4,216.32 and 862.62

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Solution

The fourth proportional to 2,810.48, 4,216.32 and 862.62 is: 1,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.48 : 4,216.32 = 862.62 : x
  2. Step 2: Convert to fraction form
    2,810.48/4,216.32 = 862.62/x
  3. Step 3: Cross multiply
    2,810.48x = 4,216.32 × 862.62
  4. Step 4: Simplify right side
    2,810.48x = 3,637,081.96
  5. Step 5: Solve for x
    x = 3,637,081.96/2,810.48
  6. Step 6: Final answer
    x = 1,294.11

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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.