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Finding the Fourth Proportional to 2,113.24, 3,170.04 and 652.35

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Solution

The fourth proportional to 2,113.24, 3,170.04 and 652.35 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.24 : 3,170.04 = 652.35 : x
  2. Step 2: Convert to fraction form
    2,113.24/3,170.04 = 652.35/x
  3. Step 3: Cross multiply
    2,113.24x = 3,170.04 × 652.35
  4. Step 4: Simplify right side
    2,113.24x = 2,067,985.04
  5. Step 5: Solve for x
    x = 2,067,985.04/2,113.24
  6. Step 6: Final answer
    x = 978.59

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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.