Home / 10,142.10-15,205.86-6,847.02

Finding the Fourth Proportional to 10,142.10, 15,205.86 and 6,847.02

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Solution

The fourth proportional to 10,142.10, 15,205.86 and 6,847.02 is: 10,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.10 : 15,205.86 = 6,847.02 : x
  2. Step 2: Convert to fraction form
    10,142.10/15,205.86 = 6,847.02/x
  3. Step 3: Cross multiply
    10,142.10x = 15,205.86 × 6,847.02
  4. Step 4: Simplify right side
    10,142.10x = 104,114,827.54
  5. Step 5: Solve for x
    x = 104,114,827.54/10,142.10
  6. Step 6: Final answer
    x = 10,265.61

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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.