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Finding the Fourth Proportional to 15,309, 22,966.74 and 4,921.56

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Solution

The fourth proportional to 15,309, 22,966.74 and 4,921.56 is: 7,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 22,966.74 = 4,921.56 : x
  2. Step 2: Convert to fraction form
    15,309/22,966.74 = 4,921.56/x
  3. Step 3: Cross multiply
    15,309x = 22,966.74 × 4,921.56
  4. Step 4: Simplify right side
    15,309x = 113,032,188.91
  5. Step 5: Solve for x
    x = 113,032,188.91/15,309
  6. Step 6: Final answer
    x = 7,383.38

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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.