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Finding the Fourth Proportional to 2,008.70, 3,013.45 and 710.13

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Solution

The fourth proportional to 2,008.70, 3,013.45 and 710.13 is: 1,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.70 : 3,013.45 = 710.13 : x
  2. Step 2: Convert to fraction form
    2,008.70/3,013.45 = 710.13/x
  3. Step 3: Cross multiply
    2,008.70x = 3,013.45 × 710.13
  4. Step 4: Simplify right side
    2,008.70x = 2,139,939.47
  5. Step 5: Solve for x
    x = 2,139,939.47/2,008.70
  6. Step 6: Final answer
    x = 1,065.34

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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.