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Finding the Fourth Proportional to 21,155.34, 31,733.40 and 8,013.90

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Solution

The fourth proportional to 21,155.34, 31,733.40 and 8,013.90 is: 12,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.34 : 31,733.40 = 8,013.90 : x
  2. Step 2: Convert to fraction form
    21,155.34/31,733.40 = 8,013.90/x
  3. Step 3: Cross multiply
    21,155.34x = 31,733.40 × 8,013.90
  4. Step 4: Simplify right side
    21,155.34x = 254,308,294.26
  5. Step 5: Solve for x
    x = 254,308,294.26/21,155.34
  6. Step 6: Final answer
    x = 12,021.00

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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.