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Finding the Fourth Proportional to 12,981.71, 19,469.84 and 4,662.20

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Solution

The fourth proportional to 12,981.71, 19,469.84 and 4,662.20 is: 6,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.71 : 19,469.84 = 4,662.20 : x
  2. Step 2: Convert to fraction form
    12,981.71/19,469.84 = 4,662.20/x
  3. Step 3: Cross multiply
    12,981.71x = 19,469.84 × 4,662.20
  4. Step 4: Simplify right side
    12,981.71x = 90,772,313.41
  5. Step 5: Solve for x
    x = 90,772,313.41/12,981.71
  6. Step 6: Final answer
    x = 6,992.32

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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.