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Finding the Fourth Proportional to 2,878.28, 4,314.64 and 929.16

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Solution

The fourth proportional to 2,878.28, 4,314.64 and 929.16 is: 1,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.28 : 4,314.64 = 929.16 : x
  2. Step 2: Convert to fraction form
    2,878.28/4,314.64 = 929.16/x
  3. Step 3: Cross multiply
    2,878.28x = 4,314.64 × 929.16
  4. Step 4: Simplify right side
    2,878.28x = 4,008,990.90
  5. Step 5: Solve for x
    x = 4,008,990.90/2,878.28
  6. Step 6: Final answer
    x = 1,392.84

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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.