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Finding the Fourth Proportional to 2,113.31, 3,169.99 and 652.45

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Solution

The fourth proportional to 2,113.31, 3,169.99 and 652.45 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.31 : 3,169.99 = 652.45 : x
  2. Step 2: Convert to fraction form
    2,113.31/3,169.99 = 652.45/x
  3. Step 3: Cross multiply
    2,113.31x = 3,169.99 × 652.45
  4. Step 4: Simplify right side
    2,113.31x = 2,068,259.98
  5. Step 5: Solve for x
    x = 2,068,259.98/2,113.31
  6. Step 6: Final answer
    x = 978.68

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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.