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Finding the Fourth Proportional to 6,822, 10,154.88 and 6,503.40

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Solution

The fourth proportional to 6,822, 10,154.88 and 6,503.40 is: 9,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822 : 10,154.88 = 6,503.40 : x
  2. Step 2: Convert to fraction form
    6,822/10,154.88 = 6,503.40/x
  3. Step 3: Cross multiply
    6,822x = 10,154.88 × 6,503.40
  4. Step 4: Simplify right side
    6,822x = 66,041,246.59
  5. Step 5: Solve for x
    x = 66,041,246.59/6,822
  6. Step 6: Final answer
    x = 9,680.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.