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Finding the Fourth Proportional to 15,855, 21,881.02 and 9,567

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Solution

The fourth proportional to 15,855, 21,881.02 and 9,567 is: 13,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855 : 21,881.02 = 9,567 : x
  2. Step 2: Convert to fraction form
    15,855/21,881.02 = 9,567/x
  3. Step 3: Cross multiply
    15,855x = 21,881.02 × 9,567
  4. Step 4: Simplify right side
    15,855x = 209,335,718.34
  5. Step 5: Solve for x
    x = 209,335,718.34/15,855
  6. Step 6: Final answer
    x = 13,203.14

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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.