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Finding the Fourth Proportional to 15,892.13, 21,935.16 and 10,858.38

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Solution

The fourth proportional to 15,892.13, 21,935.16 and 10,858.38 is: 14,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.13 : 21,935.16 = 10,858.38 : x
  2. Step 2: Convert to fraction form
    15,892.13/21,935.16 = 10,858.38/x
  3. Step 3: Cross multiply
    15,892.13x = 21,935.16 × 10,858.38
  4. Step 4: Simplify right side
    15,892.13x = 238,180,329.79
  5. Step 5: Solve for x
    x = 238,180,329.79/15,892.13
  6. Step 6: Final answer
    x = 14,987.32

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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.