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Finding the Fourth Proportional to 20,901.68, 31,353 and 5,319.32

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Solution

The fourth proportional to 20,901.68, 31,353 and 5,319.32 is: 7,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.68 : 31,353 = 5,319.32 : x
  2. Step 2: Convert to fraction form
    20,901.68/31,353 = 5,319.32/x
  3. Step 3: Cross multiply
    20,901.68x = 31,353 × 5,319.32
  4. Step 4: Simplify right side
    20,901.68x = 166,776,639.96
  5. Step 5: Solve for x
    x = 166,776,639.96/20,901.68
  6. Step 6: Final answer
    x = 7,979.10

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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.