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Finding the Fourth Proportional to 2,113.16, 3,170.16 and 652.25

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Solution

The fourth proportional to 2,113.16, 3,170.16 and 652.25 is: 978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.16 : 3,170.16 = 652.25 : x
  2. Step 2: Convert to fraction form
    2,113.16/3,170.16 = 652.25/x
  3. Step 3: Cross multiply
    2,113.16x = 3,170.16 × 652.25
  4. Step 4: Simplify right side
    2,113.16x = 2,067,733.60
  5. Step 5: Solve for x
    x = 2,067,733.60/2,113.16
  6. Step 6: Final answer
    x = 978.51

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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.