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Finding the Fourth Proportional to 15,825.80, 23,740.06 and 4,139

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Solution

The fourth proportional to 15,825.80, 23,740.06 and 4,139 is: 6,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.80 : 23,740.06 = 4,139 : x
  2. Step 2: Convert to fraction form
    15,825.80/23,740.06 = 4,139/x
  3. Step 3: Cross multiply
    15,825.80x = 23,740.06 × 4,139
  4. Step 4: Simplify right side
    15,825.80x = 98,260,108.34
  5. Step 5: Solve for x
    x = 98,260,108.34/15,825.80
  6. Step 6: Final answer
    x = 6,208.86

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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.