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Finding the Fourth Proportional to 3,007.14, 4,510.98 and 815.88

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Solution

The fourth proportional to 3,007.14, 4,510.98 and 815.88 is: 1,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.14 : 4,510.98 = 815.88 : x
  2. Step 2: Convert to fraction form
    3,007.14/4,510.98 = 815.88/x
  3. Step 3: Cross multiply
    3,007.14x = 4,510.98 × 815.88
  4. Step 4: Simplify right side
    3,007.14x = 3,680,418.36
  5. Step 5: Solve for x
    x = 3,680,418.36/3,007.14
  6. Step 6: Final answer
    x = 1,223.89

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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.