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Finding the Fourth Proportional to 4,762.33, 7,145.21 and 2,129.61

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Solution

The fourth proportional to 4,762.33, 7,145.21 and 2,129.61 is: 3,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.33 : 7,145.21 = 2,129.61 : x
  2. Step 2: Convert to fraction form
    4,762.33/7,145.21 = 2,129.61/x
  3. Step 3: Cross multiply
    4,762.33x = 7,145.21 × 2,129.61
  4. Step 4: Simplify right side
    4,762.33x = 15,216,510.67
  5. Step 5: Solve for x
    x = 15,216,510.67/4,762.33
  6. Step 6: Final answer
    x = 3,195.18

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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.