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Finding the Fourth Proportional to 12,964.80, 19,432.80 and 7,125.60

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Solution

The fourth proportional to 12,964.80, 19,432.80 and 7,125.60 is: 10,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.80 : 19,432.80 = 7,125.60 : x
  2. Step 2: Convert to fraction form
    12,964.80/19,432.80 = 7,125.60/x
  3. Step 3: Cross multiply
    12,964.80x = 19,432.80 × 7,125.60
  4. Step 4: Simplify right side
    12,964.80x = 138,470,359.68
  5. Step 5: Solve for x
    x = 138,470,359.68/12,964.80
  6. Step 6: Final answer
    x = 10,680.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.