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Finding the Fourth Proportional to 2,068.32, 3,101.92 and 607.12

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Solution

The fourth proportional to 2,068.32, 3,101.92 and 607.12 is: 910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.32 : 3,101.92 = 607.12 : x
  2. Step 2: Convert to fraction form
    2,068.32/3,101.92 = 607.12/x
  3. Step 3: Cross multiply
    2,068.32x = 3,101.92 × 607.12
  4. Step 4: Simplify right side
    2,068.32x = 1,883,237.67
  5. Step 5: Solve for x
    x = 1,883,237.67/2,068.32
  6. Step 6: Final answer
    x = 910.52

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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.