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Finding the Fourth Proportional to 7,176.69, 10,765.65 and 1,982.55

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Solution

The fourth proportional to 7,176.69, 10,765.65 and 1,982.55 is: 2,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.69 : 10,765.65 = 1,982.55 : x
  2. Step 2: Convert to fraction form
    7,176.69/10,765.65 = 1,982.55/x
  3. Step 3: Cross multiply
    7,176.69x = 10,765.65 × 1,982.55
  4. Step 4: Simplify right side
    7,176.69x = 21,343,439.41
  5. Step 5: Solve for x
    x = 21,343,439.41/7,176.69
  6. Step 6: Final answer
    x = 2,973.99

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1.5x scale

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.