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Finding the Fourth Proportional to 2,068.78, 3,102.18 and 607.63

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Solution

The fourth proportional to 2,068.78, 3,102.18 and 607.63 is: 911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.78 : 3,102.18 = 607.63 : x
  2. Step 2: Convert to fraction form
    2,068.78/3,102.18 = 607.63/x
  3. Step 3: Cross multiply
    2,068.78x = 3,102.18 × 607.63
  4. Step 4: Simplify right side
    2,068.78x = 1,884,977.63
  5. Step 5: Solve for x
    x = 1,884,977.63/2,068.78
  6. Step 6: Final answer
    x = 911.15

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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.