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Finding the Fourth Proportional to 21,205.98, 31,807.60 and 8,058.02

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Solution

The fourth proportional to 21,205.98, 31,807.60 and 8,058.02 is: 12,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.98 : 31,807.60 = 8,058.02 : x
  2. Step 2: Convert to fraction form
    21,205.98/31,807.60 = 8,058.02/x
  3. Step 3: Cross multiply
    21,205.98x = 31,807.60 × 8,058.02
  4. Step 4: Simplify right side
    21,205.98x = 256,306,097.77
  5. Step 5: Solve for x
    x = 256,306,097.77/21,205.98
  6. Step 6: Final answer
    x = 12,086.50

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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.