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Finding the Fourth Proportional to 5,166.39, 7,750.31 and 1,655.57

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Solution

The fourth proportional to 5,166.39, 7,750.31 and 1,655.57 is: 2,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.39 : 7,750.31 = 1,655.57 : x
  2. Step 2: Convert to fraction form
    5,166.39/7,750.31 = 1,655.57/x
  3. Step 3: Cross multiply
    5,166.39x = 7,750.31 × 1,655.57
  4. Step 4: Simplify right side
    5,166.39x = 12,831,200.10
  5. Step 5: Solve for x
    x = 12,831,200.10/5,166.39
  6. Step 6: Final answer
    x = 2,483.59

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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.