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Finding the Fourth Proportional to 20,880, 31,320 and 7,029

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Solution

The fourth proportional to 20,880, 31,320 and 7,029 is: 10,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 31,320 = 7,029 : x
  2. Step 2: Convert to fraction form
    20,880/31,320 = 7,029/x
  3. Step 3: Cross multiply
    20,880x = 31,320 × 7,029
  4. Step 4: Simplify right side
    20,880x = 220,148,280
  5. Step 5: Solve for x
    x = 220,148,280/20,880
  6. Step 6: Final answer
    x = 10,543.50

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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.