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Finding the Fourth Proportional to 15,289, 22,936.94 and 5,428.28

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Solution

The fourth proportional to 15,289, 22,936.94 and 5,428.28 is: 8,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289 : 22,936.94 = 5,428.28 : x
  2. Step 2: Convert to fraction form
    15,289/22,936.94 = 5,428.28/x
  3. Step 3: Cross multiply
    15,289x = 22,936.94 × 5,428.28
  4. Step 4: Simplify right side
    15,289x = 124,508,132.66
  5. Step 5: Solve for x
    x = 124,508,132.66/15,289
  6. Step 6: Final answer
    x = 8,143.64

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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.