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Finding the Fourth Proportional to 21,101.61, 31,646.03 and 7,058.03

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Solution

The fourth proportional to 21,101.61, 31,646.03 and 7,058.03 is: 10,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.61 : 31,646.03 = 7,058.03 : x
  2. Step 2: Convert to fraction form
    21,101.61/31,646.03 = 7,058.03/x
  3. Step 3: Cross multiply
    21,101.61x = 31,646.03 × 7,058.03
  4. Step 4: Simplify right side
    21,101.61x = 223,358,725.88
  5. Step 5: Solve for x
    x = 223,358,725.88/21,101.61
  6. Step 6: Final answer
    x = 10,584.91

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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.