Home / 10,102.98-15,137.76-5,165.83

Finding the Fourth Proportional to 10,102.98, 15,137.76 and 5,165.83

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Solution

The fourth proportional to 10,102.98, 15,137.76 and 5,165.83 is: 7,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.98 : 15,137.76 = 5,165.83 : x
  2. Step 2: Convert to fraction form
    10,102.98/15,137.76 = 5,165.83/x
  3. Step 3: Cross multiply
    10,102.98x = 15,137.76 × 5,165.83
  4. Step 4: Simplify right side
    10,102.98x = 78,199,094.74
  5. Step 5: Solve for x
    x = 78,199,094.74/10,102.98
  6. Step 6: Final answer
    x = 7,740.20

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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.