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Finding the Fourth Proportional to 20,696.50, 31,048 and 6,848.74

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Solution

The fourth proportional to 20,696.50, 31,048 and 6,848.74 is: 10,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.50 : 31,048 = 6,848.74 : x
  2. Step 2: Convert to fraction form
    20,696.50/31,048 = 6,848.74/x
  3. Step 3: Cross multiply
    20,696.50x = 31,048 × 6,848.74
  4. Step 4: Simplify right side
    20,696.50x = 212,639,679.52
  5. Step 5: Solve for x
    x = 212,639,679.52/20,696.50
  6. Step 6: Final answer
    x = 10,274.19

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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.