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Finding the Fourth Proportional to 2,875.25, 4,312.88 and 823.25

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Solution

The fourth proportional to 2,875.25, 4,312.88 and 823.25 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.25 : 4,312.88 = 823.25 : x
  2. Step 2: Convert to fraction form
    2,875.25/4,312.88 = 823.25/x
  3. Step 3: Cross multiply
    2,875.25x = 4,312.88 × 823.25
  4. Step 4: Simplify right side
    2,875.25x = 3,550,578.46
  5. Step 5: Solve for x
    x = 3,550,578.46/2,875.25
  6. Step 6: Final answer
    x = 1,234.88

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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.