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Finding the Fourth Proportional to 2,942.88, 4,062 and 2,159.52

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Solution

The fourth proportional to 2,942.88, 4,062 and 2,159.52 is: 2,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.88 : 4,062 = 2,159.52 : x
  2. Step 2: Convert to fraction form
    2,942.88/4,062 = 2,159.52/x
  3. Step 3: Cross multiply
    2,942.88x = 4,062 × 2,159.52
  4. Step 4: Simplify right side
    2,942.88x = 8,771,970.24
  5. Step 5: Solve for x
    x = 8,771,970.24/2,942.88
  6. Step 6: Final answer
    x = 2,980.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.