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Finding the Fourth Proportional to 2,678.56, 4,017.38 and 730.30

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Solution

The fourth proportional to 2,678.56, 4,017.38 and 730.30 is: 1,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.56 : 4,017.38 = 730.30 : x
  2. Step 2: Convert to fraction form
    2,678.56/4,017.38 = 730.30/x
  3. Step 3: Cross multiply
    2,678.56x = 4,017.38 × 730.30
  4. Step 4: Simplify right side
    2,678.56x = 2,933,892.61
  5. Step 5: Solve for x
    x = 2,933,892.61/2,678.56
  6. Step 6: Final answer
    x = 1,095.32

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1.5x scale

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.