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Finding the Fourth Proportional to 15,310, 21,129.42 and 9,721

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Solution

The fourth proportional to 15,310, 21,129.42 and 9,721 is: 13,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310 : 21,129.42 = 9,721 : x
  2. Step 2: Convert to fraction form
    15,310/21,129.42 = 9,721/x
  3. Step 3: Cross multiply
    15,310x = 21,129.42 × 9,721
  4. Step 4: Simplify right side
    15,310x = 205,399,091.82
  5. Step 5: Solve for x
    x = 205,399,091.82/15,310
  6. Step 6: Final answer
    x = 13,416.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.