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Finding the Fourth Proportional to 10,611.68, 15,922 and 5,680

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Solution

The fourth proportional to 10,611.68, 15,922 and 5,680 is: 8,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.68 : 15,922 = 5,680 : x
  2. Step 2: Convert to fraction form
    10,611.68/15,922 = 5,680/x
  3. Step 3: Cross multiply
    10,611.68x = 15,922 × 5,680
  4. Step 4: Simplify right side
    10,611.68x = 90,436,960
  5. Step 5: Solve for x
    x = 90,436,960/10,611.68
  6. Step 6: Final answer
    x = 8,522.40

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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.