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Finding the Fourth Proportional to 2,068.77, 3,102.84 and 607.62

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Solution

The fourth proportional to 2,068.77, 3,102.84 and 607.62 is: 911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.77 : 3,102.84 = 607.62 : x
  2. Step 2: Convert to fraction form
    2,068.77/3,102.84 = 607.62/x
  3. Step 3: Cross multiply
    2,068.77x = 3,102.84 × 607.62
  4. Step 4: Simplify right side
    2,068.77x = 1,885,347.64
  5. Step 5: Solve for x
    x = 1,885,347.64/2,068.77
  6. Step 6: Final answer
    x = 911.34

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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.