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Finding the Fourth Proportional to 19,873.84, 27,424.08 and 10,920.64

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Solution

The fourth proportional to 19,873.84, 27,424.08 and 10,920.64 is: 15,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.84 : 27,424.08 = 10,920.64 : x
  2. Step 2: Convert to fraction form
    19,873.84/27,424.08 = 10,920.64/x
  3. Step 3: Cross multiply
    19,873.84x = 27,424.08 × 10,920.64
  4. Step 4: Simplify right side
    19,873.84x = 299,488,505.01
  5. Step 5: Solve for x
    x = 299,488,505.01/19,873.84
  6. Step 6: Final answer
    x = 15,069.48

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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.