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Finding the Fourth Proportional to 12,275.87, 16,940.82 and 6,970.80

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Solution

The fourth proportional to 12,275.87, 16,940.82 and 6,970.80 is: 9,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.87 : 16,940.82 = 6,970.80 : x
  2. Step 2: Convert to fraction form
    12,275.87/16,940.82 = 6,970.80/x
  3. Step 3: Cross multiply
    12,275.87x = 16,940.82 × 6,970.80
  4. Step 4: Simplify right side
    12,275.87x = 118,091,033.20
  5. Step 5: Solve for x
    x = 118,091,033.20/12,275.87
  6. Step 6: Final answer
    x = 9,619.77

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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.