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Finding the Fourth Proportional to 18,321, 25,280.10 and 10,360.68

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Solution

The fourth proportional to 18,321, 25,280.10 and 10,360.68 is: 14,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,321 : 25,280.10 = 10,360.68 : x
  2. Step 2: Convert to fraction form
    18,321/25,280.10 = 10,360.68/x
  3. Step 3: Cross multiply
    18,321x = 25,280.10 × 10,360.68
  4. Step 4: Simplify right side
    18,321x = 261,919,026.47
  5. Step 5: Solve for x
    x = 261,919,026.47/18,321
  6. Step 6: Final answer
    x = 14,296.11

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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.