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Finding the Fourth Proportional to 21,071, 31,596.42 and 6,274.70

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Solution

The fourth proportional to 21,071, 31,596.42 and 6,274.70 is: 9,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071 : 31,596.42 = 6,274.70 : x
  2. Step 2: Convert to fraction form
    21,071/31,596.42 = 6,274.70/x
  3. Step 3: Cross multiply
    21,071x = 31,596.42 × 6,274.70
  4. Step 4: Simplify right side
    21,071x = 198,258,056.57
  5. Step 5: Solve for x
    x = 198,258,056.57/21,071
  6. Step 6: Final answer
    x = 9,409.05

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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.