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Finding the Fourth Proportional to 15,082.84, 20,815.14 and 9,782.20

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Solution

The fourth proportional to 15,082.84, 20,815.14 and 9,782.20 is: 13,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.84 : 20,815.14 = 9,782.20 : x
  2. Step 2: Convert to fraction form
    15,082.84/20,815.14 = 9,782.20/x
  3. Step 3: Cross multiply
    15,082.84x = 20,815.14 × 9,782.20
  4. Step 4: Simplify right side
    15,082.84x = 203,617,862.51
  5. Step 5: Solve for x
    x = 203,617,862.51/15,082.84
  6. Step 6: Final answer
    x = 13,499.97

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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.