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Finding the Fourth Proportional to 21,383.79, 32,067.48 and 7,341.20

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Solution

The fourth proportional to 21,383.79, 32,067.48 and 7,341.20 is: 11,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.79 : 32,067.48 = 7,341.20 : x
  2. Step 2: Convert to fraction form
    21,383.79/32,067.48 = 7,341.20/x
  3. Step 3: Cross multiply
    21,383.79x = 32,067.48 × 7,341.20
  4. Step 4: Simplify right side
    21,383.79x = 235,413,587.13
  5. Step 5: Solve for x
    x = 235,413,587.13/21,383.79
  6. Step 6: Final answer
    x = 11,008.98

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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.