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Finding the Fourth Proportional to 2,014.20, 3,020.78 and 715.48

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Solution

The fourth proportional to 2,014.20, 3,020.78 and 715.48 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.20 : 3,020.78 = 715.48 : x
  2. Step 2: Convert to fraction form
    2,014.20/3,020.78 = 715.48/x
  3. Step 3: Cross multiply
    2,014.20x = 3,020.78 × 715.48
  4. Step 4: Simplify right side
    2,014.20x = 2,161,307.67
  5. Step 5: Solve for x
    x = 2,161,307.67/2,014.20
  6. Step 6: Final answer
    x = 1,073.04

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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.