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Finding the Fourth Proportional to 21,465, 32,177.34 and 7,606.44

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Solution

The fourth proportional to 21,465, 32,177.34 and 7,606.44 is: 11,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 32,177.34 = 7,606.44 : x
  2. Step 2: Convert to fraction form
    21,465/32,177.34 = 7,606.44/x
  3. Step 3: Cross multiply
    21,465x = 32,177.34 × 7,606.44
  4. Step 4: Simplify right side
    21,465x = 244,755,006.07
  5. Step 5: Solve for x
    x = 244,755,006.07/21,465
  6. Step 6: Final answer
    x = 11,402.52

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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.