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Finding the Fourth Proportional to 12,280.88, 16,947.14 and 6,975.14

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Solution

The fourth proportional to 12,280.88, 16,947.14 and 6,975.14 is: 9,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.88 : 16,947.14 = 6,975.14 : x
  2. Step 2: Convert to fraction form
    12,280.88/16,947.14 = 6,975.14/x
  3. Step 3: Cross multiply
    12,280.88x = 16,947.14 × 6,975.14
  4. Step 4: Simplify right side
    12,280.88x = 118,208,554.49
  5. Step 5: Solve for x
    x = 118,208,554.49/12,280.88
  6. Step 6: Final answer
    x = 9,625.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.