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Finding the Fourth Proportional to 12,706.95, 19,056.97 and 5,309.86

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Solution

The fourth proportional to 12,706.95, 19,056.97 and 5,309.86 is: 7,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.95 : 19,056.97 = 5,309.86 : x
  2. Step 2: Convert to fraction form
    12,706.95/19,056.97 = 5,309.86/x
  3. Step 3: Cross multiply
    12,706.95x = 19,056.97 × 5,309.86
  4. Step 4: Simplify right side
    12,706.95x = 101,189,842.72
  5. Step 5: Solve for x
    x = 101,189,842.72/12,706.95
  6. Step 6: Final answer
    x = 7,963.35

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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.