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Finding the Fourth Proportional to 12,706.35, 19,059.53 and 5,306.78

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Solution

The fourth proportional to 12,706.35, 19,059.53 and 5,306.78 is: 7,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.35 : 19,059.53 = 5,306.78 : x
  2. Step 2: Convert to fraction form
    12,706.35/19,059.53 = 5,306.78/x
  3. Step 3: Cross multiply
    12,706.35x = 19,059.53 × 5,306.78
  4. Step 4: Simplify right side
    12,706.35x = 101,144,610.78
  5. Step 5: Solve for x
    x = 101,144,610.78/12,706.35
  6. Step 6: Final answer
    x = 7,960.16

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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.