Home / 5,123.60-7,678.20-2,042

Finding the Fourth Proportional to 5,123.60, 7,678.20 and 2,042

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Solution

The fourth proportional to 5,123.60, 7,678.20 and 2,042 is: 3,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.60 : 7,678.20 = 2,042 : x
  2. Step 2: Convert to fraction form
    5,123.60/7,678.20 = 2,042/x
  3. Step 3: Cross multiply
    5,123.60x = 7,678.20 × 2,042
  4. Step 4: Simplify right side
    5,123.60x = 15,678,884.40
  5. Step 5: Solve for x
    x = 15,678,884.40/5,123.60
  6. Step 6: Final answer
    x = 3,060.13

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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.