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Finding the Fourth Proportional to 15,278.64, 22,926.72 and 8,258.72

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Solution

The fourth proportional to 15,278.64, 22,926.72 and 8,258.72 is: 12,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.64 : 22,926.72 = 8,258.72 : x
  2. Step 2: Convert to fraction form
    15,278.64/22,926.72 = 8,258.72/x
  3. Step 3: Cross multiply
    15,278.64x = 22,926.72 × 8,258.72
  4. Step 4: Simplify right side
    15,278.64x = 189,345,361.00
  5. Step 5: Solve for x
    x = 189,345,361.00/15,278.64
  6. Step 6: Final answer
    x = 12,392.82

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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.