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Finding the Fourth Proportional to 6,392.43, 9,580.53 and 2,878.68

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Solution

The fourth proportional to 6,392.43, 9,580.53 and 2,878.68 is: 4,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.43 : 9,580.53 = 2,878.68 : x
  2. Step 2: Convert to fraction form
    6,392.43/9,580.53 = 2,878.68/x
  3. Step 3: Cross multiply
    6,392.43x = 9,580.53 × 2,878.68
  4. Step 4: Simplify right side
    6,392.43x = 27,579,280.10
  5. Step 5: Solve for x
    x = 27,579,280.10/6,392.43
  6. Step 6: Final answer
    x = 4,314.37

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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.