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Finding the Fourth Proportional to 2,750.42, 4,125.99 and 802.59

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Solution

The fourth proportional to 2,750.42, 4,125.99 and 802.59 is: 1,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.42 : 4,125.99 = 802.59 : x
  2. Step 2: Convert to fraction form
    2,750.42/4,125.99 = 802.59/x
  3. Step 3: Cross multiply
    2,750.42x = 4,125.99 × 802.59
  4. Step 4: Simplify right side
    2,750.42x = 3,311,478.31
  5. Step 5: Solve for x
    x = 3,311,478.31/2,750.42
  6. Step 6: Final answer
    x = 1,203.99

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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.