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Finding the Fourth Proportional to 21,002.31, 31,509.62 and 6,211.62

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Solution

The fourth proportional to 21,002.31, 31,509.62 and 6,211.62 is: 9,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.31 : 31,509.62 = 6,211.62 : x
  2. Step 2: Convert to fraction form
    21,002.31/31,509.62 = 6,211.62/x
  3. Step 3: Cross multiply
    21,002.31x = 31,509.62 × 6,211.62
  4. Step 4: Simplify right side
    21,002.31x = 195,725,754.73
  5. Step 5: Solve for x
    x = 195,725,754.73/21,002.31
  6. Step 6: Final answer
    x = 9,319.25

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1.5x scale

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.