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Finding the Fourth Proportional to 23,305, 32,151.78 and 15,351.40

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Solution

The fourth proportional to 23,305, 32,151.78 and 15,351.40 is: 21,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305 : 32,151.78 = 15,351.40 : x
  2. Step 2: Convert to fraction form
    23,305/32,151.78 = 15,351.40/x
  3. Step 3: Cross multiply
    23,305x = 32,151.78 × 15,351.40
  4. Step 4: Simplify right side
    23,305x = 493,574,835.49
  5. Step 5: Solve for x
    x = 493,574,835.49/23,305
  6. Step 6: Final answer
    x = 21,178.92

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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.