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Finding the Fourth Proportional to 2,878.12, 4,314.46 and 929

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Solution

The fourth proportional to 2,878.12, 4,314.46 and 929 is: 1,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.12 : 4,314.46 = 929 : x
  2. Step 2: Convert to fraction form
    2,878.12/4,314.46 = 929/x
  3. Step 3: Cross multiply
    2,878.12x = 4,314.46 × 929
  4. Step 4: Simplify right side
    2,878.12x = 4,008,133.34
  5. Step 5: Solve for x
    x = 4,008,133.34/2,878.12
  6. Step 6: Final answer
    x = 1,392.62

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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.