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Finding the Fourth Proportional to 18,483, 25,506.72 and 10,099.68

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Solution

The fourth proportional to 18,483, 25,506.72 and 10,099.68 is: 13,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483 : 25,506.72 = 10,099.68 : x
  2. Step 2: Convert to fraction form
    18,483/25,506.72 = 10,099.68/x
  3. Step 3: Cross multiply
    18,483x = 25,506.72 × 10,099.68
  4. Step 4: Simplify right side
    18,483x = 257,609,709.85
  5. Step 5: Solve for x
    x = 257,609,709.85/18,483
  6. Step 6: Final answer
    x = 13,937.66

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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.