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Finding the Fourth Proportional to 22,510.84, 33,756.54 and 7,721.20

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Solution

The fourth proportional to 22,510.84, 33,756.54 and 7,721.20 is: 11,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.84 : 33,756.54 = 7,721.20 : x
  2. Step 2: Convert to fraction form
    22,510.84/33,756.54 = 7,721.20/x
  3. Step 3: Cross multiply
    22,510.84x = 33,756.54 × 7,721.20
  4. Step 4: Simplify right side
    22,510.84x = 260,640,996.65
  5. Step 5: Solve for x
    x = 260,640,996.65/22,510.84
  6. Step 6: Final answer
    x = 11,578.47

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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.