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Finding the Fourth Proportional to 29,509.84, 40,724.60 and 16,082.20

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Solution

The fourth proportional to 29,509.84, 40,724.60 and 16,082.20 is: 22,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.84 : 40,724.60 = 16,082.20 : x
  2. Step 2: Convert to fraction form
    29,509.84/40,724.60 = 16,082.20/x
  3. Step 3: Cross multiply
    29,509.84x = 40,724.60 × 16,082.20
  4. Step 4: Simplify right side
    29,509.84x = 654,941,162.12
  5. Step 5: Solve for x
    x = 654,941,162.12/29,509.84
  6. Step 6: Final answer
    x = 22,193.99

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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.