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Finding the Fourth Proportional to 20,970, 31,459.86 and 7,119

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Solution

The fourth proportional to 20,970, 31,459.86 and 7,119 is: 10,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 31,459.86 = 7,119 : x
  2. Step 2: Convert to fraction form
    20,970/31,459.86 = 7,119/x
  3. Step 3: Cross multiply
    20,970x = 31,459.86 × 7,119
  4. Step 4: Simplify right side
    20,970x = 223,962,743.34
  5. Step 5: Solve for x
    x = 223,962,743.34/20,970
  6. Step 6: Final answer
    x = 10,680.15

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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.