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Finding the Fourth Proportional to 2,750.02, 4,125.03 and 802.78

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Solution

The fourth proportional to 2,750.02, 4,125.03 and 802.78 is: 1,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.02 : 4,125.03 = 802.78 : x
  2. Step 2: Convert to fraction form
    2,750.02/4,125.03 = 802.78/x
  3. Step 3: Cross multiply
    2,750.02x = 4,125.03 × 802.78
  4. Step 4: Simplify right side
    2,750.02x = 3,311,491.58
  5. Step 5: Solve for x
    x = 3,311,491.58/2,750.02
  6. Step 6: Final answer
    x = 1,204.17

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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.