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Finding the Fourth Proportional to 12,915.74, 19,373.76 and 12,286.22

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Solution

The fourth proportional to 12,915.74, 19,373.76 and 12,286.22 is: 18,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.74 : 19,373.76 = 12,286.22 : x
  2. Step 2: Convert to fraction form
    12,915.74/19,373.76 = 12,286.22/x
  3. Step 3: Cross multiply
    12,915.74x = 19,373.76 × 12,286.22
  4. Step 4: Simplify right side
    12,915.74x = 238,030,277.59
  5. Step 5: Solve for x
    x = 238,030,277.59/12,915.74
  6. Step 6: Final answer
    x = 18,429.47

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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.