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Finding the Fourth Proportional to 2,113.82, 3,170.66 and 653.08

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Solution

The fourth proportional to 2,113.82, 3,170.66 and 653.08 is: 979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.82 : 3,170.66 = 653.08 : x
  2. Step 2: Convert to fraction form
    2,113.82/3,170.66 = 653.08/x
  3. Step 3: Cross multiply
    2,113.82x = 3,170.66 × 653.08
  4. Step 4: Simplify right side
    2,113.82x = 2,070,694.63
  5. Step 5: Solve for x
    x = 2,070,694.63/2,113.82
  6. Step 6: Final answer
    x = 979.60

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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.