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Finding the Fourth Proportional to 20,497.88, 30,746.27 and 5,706.20

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Solution

The fourth proportional to 20,497.88, 30,746.27 and 5,706.20 is: 8,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.88 : 30,746.27 = 5,706.20 : x
  2. Step 2: Convert to fraction form
    20,497.88/30,746.27 = 5,706.20/x
  3. Step 3: Cross multiply
    20,497.88x = 30,746.27 × 5,706.20
  4. Step 4: Simplify right side
    20,497.88x = 175,444,183.61
  5. Step 5: Solve for x
    x = 175,444,183.61/20,497.88
  6. Step 6: Final answer
    x = 8,559.14

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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.