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Finding the Fourth Proportional to 12,288.56, 16,959.65 and 6,984.17

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Solution

The fourth proportional to 12,288.56, 16,959.65 and 6,984.17 is: 9,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.56 : 16,959.65 = 6,984.17 : x
  2. Step 2: Convert to fraction form
    12,288.56/16,959.65 = 6,984.17/x
  3. Step 3: Cross multiply
    12,288.56x = 16,959.65 × 6,984.17
  4. Step 4: Simplify right side
    12,288.56x = 118,449,176.95
  5. Step 5: Solve for x
    x = 118,449,176.95/12,288.56
  6. Step 6: Final answer
    x = 9,638.98

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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.