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Finding the Fourth Proportional to 5,647.92, 8,472.36 and 1,948.65

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Solution

The fourth proportional to 5,647.92, 8,472.36 and 1,948.65 is: 2,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.92 : 8,472.36 = 1,948.65 : x
  2. Step 2: Convert to fraction form
    5,647.92/8,472.36 = 1,948.65/x
  3. Step 3: Cross multiply
    5,647.92x = 8,472.36 × 1,948.65
  4. Step 4: Simplify right side
    5,647.92x = 16,509,664.31
  5. Step 5: Solve for x
    x = 16,509,664.31/5,647.92
  6. Step 6: Final answer
    x = 2,923.14

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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.