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Finding the Fourth Proportional to 13,974.84, 19,287 and 8,007.84

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Solution

The fourth proportional to 13,974.84, 19,287 and 8,007.84 is: 11,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.84 : 19,287 = 8,007.84 : x
  2. Step 2: Convert to fraction form
    13,974.84/19,287 = 8,007.84/x
  3. Step 3: Cross multiply
    13,974.84x = 19,287 × 8,007.84
  4. Step 4: Simplify right side
    13,974.84x = 154,447,210.08
  5. Step 5: Solve for x
    x = 154,447,210.08/13,974.84
  6. Step 6: Final answer
    x = 11,051.81

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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.