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Finding the Fourth Proportional to 12,275.36, 16,932.68 and 7,730.80

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Solution

The fourth proportional to 12,275.36, 16,932.68 and 7,730.80 is: 10,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.36 : 16,932.68 = 7,730.80 : x
  2. Step 2: Convert to fraction form
    12,275.36/16,932.68 = 7,730.80/x
  3. Step 3: Cross multiply
    12,275.36x = 16,932.68 × 7,730.80
  4. Step 4: Simplify right side
    12,275.36x = 130,903,162.54
  5. Step 5: Solve for x
    x = 130,903,162.54/12,275.36
  6. Step 6: Final answer
    x = 10,663.90

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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.