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Finding the Fourth Proportional to 2,750.55, 4,125.95 and 802.91

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Solution

The fourth proportional to 2,750.55, 4,125.95 and 802.91 is: 1,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.55 : 4,125.95 = 802.91 : x
  2. Step 2: Convert to fraction form
    2,750.55/4,125.95 = 802.91/x
  3. Step 3: Cross multiply
    2,750.55x = 4,125.95 × 802.91
  4. Step 4: Simplify right side
    2,750.55x = 3,312,741.87
  5. Step 5: Solve for x
    x = 3,312,741.87/2,750.55
  6. Step 6: Final answer
    x = 1,204.39

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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.