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Finding the Fourth Proportional to 6,975, 10,462.50 and 1,780.92

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Solution

The fourth proportional to 6,975, 10,462.50 and 1,780.92 is: 2,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 10,462.50 = 1,780.92 : x
  2. Step 2: Convert to fraction form
    6,975/10,462.50 = 1,780.92/x
  3. Step 3: Cross multiply
    6,975x = 10,462.50 × 1,780.92
  4. Step 4: Simplify right side
    6,975x = 18,632,875.50
  5. Step 5: Solve for x
    x = 18,632,875.50/6,975
  6. Step 6: Final answer
    x = 2,671.38

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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.