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Finding the Fourth Proportional to 3,073.74, 4,608.78 and 1,430.65

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Solution

The fourth proportional to 3,073.74, 4,608.78 and 1,430.65 is: 2,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.74 : 4,608.78 = 1,430.65 : x
  2. Step 2: Convert to fraction form
    3,073.74/4,608.78 = 1,430.65/x
  3. Step 3: Cross multiply
    3,073.74x = 4,608.78 × 1,430.65
  4. Step 4: Simplify right side
    3,073.74x = 6,593,551.11
  5. Step 5: Solve for x
    x = 6,593,551.11/3,073.74
  6. Step 6: Final answer
    x = 2,145.12

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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.