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Finding the Fourth Proportional to 15,082.40, 20,820.84 and 10,055

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Solution

The fourth proportional to 15,082.40, 20,820.84 and 10,055 is: 13,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.40 : 20,820.84 = 10,055 : x
  2. Step 2: Convert to fraction form
    15,082.40/20,820.84 = 10,055/x
  3. Step 3: Cross multiply
    15,082.40x = 20,820.84 × 10,055
  4. Step 4: Simplify right side
    15,082.40x = 209,353,546.20
  5. Step 5: Solve for x
    x = 209,353,546.20/15,082.40
  6. Step 6: Final answer
    x = 13,880.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.