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Finding the Fourth Proportional to 21,705.57, 32,560.76 and 6,911.06

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Solution

The fourth proportional to 21,705.57, 32,560.76 and 6,911.06 is: 10,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.57 : 32,560.76 = 6,911.06 : x
  2. Step 2: Convert to fraction form
    21,705.57/32,560.76 = 6,911.06/x
  3. Step 3: Cross multiply
    21,705.57x = 32,560.76 × 6,911.06
  4. Step 4: Simplify right side
    21,705.57x = 225,029,168.65
  5. Step 5: Solve for x
    x = 225,029,168.65/21,705.57
  6. Step 6: Final answer
    x = 10,367.35

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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.