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Finding the Fourth Proportional to 21,283.76, 29,363.60 and 12,328

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Solution

The fourth proportional to 21,283.76, 29,363.60 and 12,328 is: 17,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.76 : 29,363.60 = 12,328 : x
  2. Step 2: Convert to fraction form
    21,283.76/29,363.60 = 12,328/x
  3. Step 3: Cross multiply
    21,283.76x = 29,363.60 × 12,328
  4. Step 4: Simplify right side
    21,283.76x = 361,994,460.80
  5. Step 5: Solve for x
    x = 361,994,460.80/21,283.76
  6. Step 6: Final answer
    x = 17,008.01

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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.