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Finding the Fourth Proportional to 21,616.56, 32,428.53 and 6,825.15

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Solution

The fourth proportional to 21,616.56, 32,428.53 and 6,825.15 is: 10,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.56 : 32,428.53 = 6,825.15 : x
  2. Step 2: Convert to fraction form
    21,616.56/32,428.53 = 6,825.15/x
  3. Step 3: Cross multiply
    21,616.56x = 32,428.53 × 6,825.15
  4. Step 4: Simplify right side
    21,616.56x = 221,329,581.53
  5. Step 5: Solve for x
    x = 221,329,581.53/21,616.56
  6. Step 6: Final answer
    x = 10,238.89

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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.