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Finding the Fourth Proportional to 2,878.56, 4,314.48 and 1,580.88

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Solution

The fourth proportional to 2,878.56, 4,314.48 and 1,580.88 is: 2,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.56 : 4,314.48 = 1,580.88 : x
  2. Step 2: Convert to fraction form
    2,878.56/4,314.48 = 1,580.88/x
  3. Step 3: Cross multiply
    2,878.56x = 4,314.48 × 1,580.88
  4. Step 4: Simplify right side
    2,878.56x = 6,820,675.14
  5. Step 5: Solve for x
    x = 6,820,675.14/2,878.56
  6. Step 6: Final answer
    x = 2,369.47

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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.