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Finding the Fourth Proportional to 2,750.24, 4,125.28 and 802.48

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Solution

The fourth proportional to 2,750.24, 4,125.28 and 802.48 is: 1,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.24 : 4,125.28 = 802.48 : x
  2. Step 2: Convert to fraction form
    2,750.24/4,125.28 = 802.48/x
  3. Step 3: Cross multiply
    2,750.24x = 4,125.28 × 802.48
  4. Step 4: Simplify right side
    2,750.24x = 3,310,454.69
  5. Step 5: Solve for x
    x = 3,310,454.69/2,750.24
  6. Step 6: Final answer
    x = 1,203.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.