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Finding the Fourth Proportional to 40,402, 55,754.76 and 23,638.24

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Solution

The fourth proportional to 40,402, 55,754.76 and 23,638.24 is: 32,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402 : 55,754.76 = 23,638.24 : x
  2. Step 2: Convert to fraction form
    40,402/55,754.76 = 23,638.24/x
  3. Step 3: Cross multiply
    40,402x = 55,754.76 × 23,638.24
  4. Step 4: Simplify right side
    40,402x = 1,317,944,398.02
  5. Step 5: Solve for x
    x = 1,317,944,398.02/40,402
  6. Step 6: Final answer
    x = 32,620.77

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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.