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Finding the Fourth Proportional to 5,307.31, 7,959.92 and 1,608.67

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Solution

The fourth proportional to 5,307.31, 7,959.92 and 1,608.67 is: 2,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.31 : 7,959.92 = 1,608.67 : x
  2. Step 2: Convert to fraction form
    5,307.31/7,959.92 = 1,608.67/x
  3. Step 3: Cross multiply
    5,307.31x = 7,959.92 × 1,608.67
  4. Step 4: Simplify right side
    5,307.31x = 12,804,876.46
  5. Step 5: Solve for x
    x = 12,804,876.46/5,307.31
  6. Step 6: Final answer
    x = 2,412.69

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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.