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Finding the Fourth Proportional to 2,835.30, 4,248.80 and 2,542.80

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Solution

The fourth proportional to 2,835.30, 4,248.80 and 2,542.80 is: 3,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.30 : 4,248.80 = 2,542.80 : x
  2. Step 2: Convert to fraction form
    2,835.30/4,248.80 = 2,542.80/x
  3. Step 3: Cross multiply
    2,835.30x = 4,248.80 × 2,542.80
  4. Step 4: Simplify right side
    2,835.30x = 10,803,848.64
  5. Step 5: Solve for x
    x = 10,803,848.64/2,835.30
  6. Step 6: Final answer
    x = 3,810.48

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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.