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Finding the Fourth Proportional to 5,237.91, 7,851.92 and 1,948.77

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Solution

The fourth proportional to 5,237.91, 7,851.92 and 1,948.77 is: 2,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.91 : 7,851.92 = 1,948.77 : x
  2. Step 2: Convert to fraction form
    5,237.91/7,851.92 = 1,948.77/x
  3. Step 3: Cross multiply
    5,237.91x = 7,851.92 × 1,948.77
  4. Step 4: Simplify right side
    5,237.91x = 15,301,576.39
  5. Step 5: Solve for x
    x = 15,301,576.39/5,237.91
  6. Step 6: Final answer
    x = 2,921.31

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1.5x scale

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.