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Finding the Fourth Proportional to 23,413, 32,310 and 12,802.80

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Solution

The fourth proportional to 23,413, 32,310 and 12,802.80 is: 17,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413 : 32,310 = 12,802.80 : x
  2. Step 2: Convert to fraction form
    23,413/32,310 = 12,802.80/x
  3. Step 3: Cross multiply
    23,413x = 32,310 × 12,802.80
  4. Step 4: Simplify right side
    23,413x = 413,658,468
  5. Step 5: Solve for x
    x = 413,658,468/23,413
  6. Step 6: Final answer
    x = 17,667.90

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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.