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Finding the Fourth Proportional to 21,058.88, 31,593.48 and 7,912

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Solution

The fourth proportional to 21,058.88, 31,593.48 and 7,912 is: 11,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.88 : 31,593.48 = 7,912 : x
  2. Step 2: Convert to fraction form
    21,058.88/31,593.48 = 7,912/x
  3. Step 3: Cross multiply
    21,058.88x = 31,593.48 × 7,912
  4. Step 4: Simplify right side
    21,058.88x = 249,967,613.76
  5. Step 5: Solve for x
    x = 249,967,613.76/21,058.88
  6. Step 6: Final answer
    x = 11,869.94

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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.