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Finding the Fourth Proportional to 19,858.01, 29,728.41 and 10,477.84

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Solution

The fourth proportional to 19,858.01, 29,728.41 and 10,477.84 is: 15,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.01 : 29,728.41 = 10,477.84 : x
  2. Step 2: Convert to fraction form
    19,858.01/29,728.41 = 10,477.84/x
  3. Step 3: Cross multiply
    19,858.01x = 29,728.41 × 10,477.84
  4. Step 4: Simplify right side
    19,858.01x = 311,489,523.43
  5. Step 5: Solve for x
    x = 311,489,523.43/19,858.01
  6. Step 6: Final answer
    x = 15,685.84

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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.