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Finding the Fourth Proportional to 2,113.35, 3,170.37 and 652.16

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Solution

The fourth proportional to 2,113.35, 3,170.37 and 652.16 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.35 : 3,170.37 = 652.16 : x
  2. Step 2: Convert to fraction form
    2,113.35/3,170.37 = 652.16/x
  3. Step 3: Cross multiply
    2,113.35x = 3,170.37 × 652.16
  4. Step 4: Simplify right side
    2,113.35x = 2,067,588.50
  5. Step 5: Solve for x
    x = 2,067,588.50/2,113.35
  6. Step 6: Final answer
    x = 978.35

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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.