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Finding the Fourth Proportional to 13,976.84, 19,288.08 and 7,689.22

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Solution

The fourth proportional to 13,976.84, 19,288.08 and 7,689.22 is: 10,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.84 : 19,288.08 = 7,689.22 : x
  2. Step 2: Convert to fraction form
    13,976.84/19,288.08 = 7,689.22/x
  3. Step 3: Cross multiply
    13,976.84x = 19,288.08 × 7,689.22
  4. Step 4: Simplify right side
    13,976.84x = 148,310,242.28
  5. Step 5: Solve for x
    x = 148,310,242.28/13,976.84
  6. Step 6: Final answer
    x = 10,611.14

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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.