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Finding the Fourth Proportional to 12,483.96, 18,729.21 and 5,910

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Solution

The fourth proportional to 12,483.96, 18,729.21 and 5,910 is: 8,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.96 : 18,729.21 = 5,910 : x
  2. Step 2: Convert to fraction form
    12,483.96/18,729.21 = 5,910/x
  3. Step 3: Cross multiply
    12,483.96x = 18,729.21 × 5,910
  4. Step 4: Simplify right side
    12,483.96x = 110,689,631.10
  5. Step 5: Solve for x
    x = 110,689,631.10/12,483.96
  6. Step 6: Final answer
    x = 8,866.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.