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Finding the Fourth Proportional to 12,706.48, 19,074.84 and 7,516

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Solution

The fourth proportional to 12,706.48, 19,074.84 and 7,516 is: 11,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.48 : 19,074.84 = 7,516 : x
  2. Step 2: Convert to fraction form
    12,706.48/19,074.84 = 7,516/x
  3. Step 3: Cross multiply
    12,706.48x = 19,074.84 × 7,516
  4. Step 4: Simplify right side
    12,706.48x = 143,366,497.44
  5. Step 5: Solve for x
    x = 143,366,497.44/12,706.48
  6. Step 6: Final answer
    x = 11,282.94

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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.