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Finding the Fourth Proportional to 21,064.50, 31,605.98 and 9,979.11

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Solution

The fourth proportional to 21,064.50, 31,605.98 and 9,979.11 is: 14,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.50 : 31,605.98 = 9,979.11 : x
  2. Step 2: Convert to fraction form
    21,064.50/31,605.98 = 9,979.11/x
  3. Step 3: Cross multiply
    21,064.50x = 31,605.98 × 9,979.11
  4. Step 4: Simplify right side
    21,064.50x = 315,399,501.18
  5. Step 5: Solve for x
    x = 315,399,501.18/21,064.50
  6. Step 6: Final answer
    x = 14,973.04

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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.