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Finding the Fourth Proportional to 20,510.91, 30,767.03 and 6,471.06

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Solution

The fourth proportional to 20,510.91, 30,767.03 and 6,471.06 is: 9,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.91 : 30,767.03 = 6,471.06 : x
  2. Step 2: Convert to fraction form
    20,510.91/30,767.03 = 6,471.06/x
  3. Step 3: Cross multiply
    20,510.91x = 30,767.03 × 6,471.06
  4. Step 4: Simplify right side
    20,510.91x = 199,095,264.80
  5. Step 5: Solve for x
    x = 199,095,264.80/20,510.91
  6. Step 6: Final answer
    x = 9,706.80

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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.