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Finding the Fourth Proportional to 7,183, 10,775.13 and 1,988.92

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Solution

The fourth proportional to 7,183, 10,775.13 and 1,988.92 is: 2,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183 : 10,775.13 = 1,988.92 : x
  2. Step 2: Convert to fraction form
    7,183/10,775.13 = 1,988.92/x
  3. Step 3: Cross multiply
    7,183x = 10,775.13 × 1,988.92
  4. Step 4: Simplify right side
    7,183x = 21,430,871.56
  5. Step 5: Solve for x
    x = 21,430,871.56/7,183
  6. Step 6: Final answer
    x = 2,983.55

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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.