Home / 5,094-7,641.36-1,586.52

Finding the Fourth Proportional to 5,094, 7,641.36 and 1,586.52

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Solution

The fourth proportional to 5,094, 7,641.36 and 1,586.52 is: 2,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,641.36 = 1,586.52 : x
  2. Step 2: Convert to fraction form
    5,094/7,641.36 = 1,586.52/x
  3. Step 3: Cross multiply
    5,094x = 7,641.36 × 1,586.52
  4. Step 4: Simplify right side
    5,094x = 12,123,170.47
  5. Step 5: Solve for x
    x = 12,123,170.47/5,094
  6. Step 6: Final answer
    x = 2,379.89

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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.