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Finding the Fourth Proportional to 7,176.77, 10,765.13 and 1,982.63

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Solution

The fourth proportional to 7,176.77, 10,765.13 and 1,982.63 is: 2,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.77 : 10,765.13 = 1,982.63 : x
  2. Step 2: Convert to fraction form
    7,176.77/10,765.13 = 1,982.63/x
  3. Step 3: Cross multiply
    7,176.77x = 10,765.13 × 1,982.63
  4. Step 4: Simplify right side
    7,176.77x = 21,343,220.82
  5. Step 5: Solve for x
    x = 21,343,220.82/7,176.77
  6. Step 6: Final answer
    x = 2,973.93

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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.