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Finding the Fourth Proportional to 21,030.30, 31,581.90 and 20,374.20

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Solution

The fourth proportional to 21,030.30, 31,581.90 and 20,374.20 is: 30,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.30 : 31,581.90 = 20,374.20 : x
  2. Step 2: Convert to fraction form
    21,030.30/31,581.90 = 20,374.20/x
  3. Step 3: Cross multiply
    21,030.30x = 31,581.90 × 20,374.20
  4. Step 4: Simplify right side
    21,030.30x = 643,455,946.98
  5. Step 5: Solve for x
    x = 643,455,946.98/21,030.30
  6. Step 6: Final answer
    x = 30,596.61

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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.