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Finding the Fourth Proportional to 2,113.68, 3,171.04 and 652.80

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Solution

The fourth proportional to 2,113.68, 3,171.04 and 652.80 is: 979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.68 : 3,171.04 = 652.80 : x
  2. Step 2: Convert to fraction form
    2,113.68/3,171.04 = 652.80/x
  3. Step 3: Cross multiply
    2,113.68x = 3,171.04 × 652.80
  4. Step 4: Simplify right side
    2,113.68x = 2,070,054.91
  5. Step 5: Solve for x
    x = 2,070,054.91/2,113.68
  6. Step 6: Final answer
    x = 979.36

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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.