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Finding the Fourth Proportional to 7,121.65, 9,829.16 and 4,250.56

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Solution

The fourth proportional to 7,121.65, 9,829.16 and 4,250.56 is: 5,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.65 : 9,829.16 = 4,250.56 : x
  2. Step 2: Convert to fraction form
    7,121.65/9,829.16 = 4,250.56/x
  3. Step 3: Cross multiply
    7,121.65x = 9,829.16 × 4,250.56
  4. Step 4: Simplify right side
    7,121.65x = 41,779,434.33
  5. Step 5: Solve for x
    x = 41,779,434.33/7,121.65
  6. Step 6: Final answer
    x = 5,866.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.