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Finding the Fourth Proportional to 12,368.92, 17,069.50 and 6,780.44

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Solution

The fourth proportional to 12,368.92, 17,069.50 and 6,780.44 is: 9,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.92 : 17,069.50 = 6,780.44 : x
  2. Step 2: Convert to fraction form
    12,368.92/17,069.50 = 6,780.44/x
  3. Step 3: Cross multiply
    12,368.92x = 17,069.50 × 6,780.44
  4. Step 4: Simplify right side
    12,368.92x = 115,738,720.58
  5. Step 5: Solve for x
    x = 115,738,720.58/12,368.92
  6. Step 6: Final answer
    x = 9,357.22

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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.