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Finding the Fourth Proportional to 2,113.90, 3,170.89 and 653.05

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Solution

The fourth proportional to 2,113.90, 3,170.89 and 653.05 is: 979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.90 : 3,170.89 = 653.05 : x
  2. Step 2: Convert to fraction form
    2,113.90/3,170.89 = 653.05/x
  3. Step 3: Cross multiply
    2,113.90x = 3,170.89 × 653.05
  4. Step 4: Simplify right side
    2,113.90x = 2,070,749.71
  5. Step 5: Solve for x
    x = 2,070,749.71/2,113.90
  6. Step 6: Final answer
    x = 979.59

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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.