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Finding the Fourth Proportional to 5,623, 7,759.74 and 3,139

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Solution

The fourth proportional to 5,623, 7,759.74 and 3,139 is: 4,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623 : 7,759.74 = 3,139 : x
  2. Step 2: Convert to fraction form
    5,623/7,759.74 = 3,139/x
  3. Step 3: Cross multiply
    5,623x = 7,759.74 × 3,139
  4. Step 4: Simplify right side
    5,623x = 24,357,823.86
  5. Step 5: Solve for x
    x = 24,357,823.86/5,623
  6. Step 6: Final answer
    x = 4,331.82

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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.