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Finding the Fourth Proportional to 8,148.64, 12,221.13 and 2,303.89

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Solution

The fourth proportional to 8,148.64, 12,221.13 and 2,303.89 is: 3,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.64 : 12,221.13 = 2,303.89 : x
  2. Step 2: Convert to fraction form
    8,148.64/12,221.13 = 2,303.89/x
  3. Step 3: Cross multiply
    8,148.64x = 12,221.13 × 2,303.89
  4. Step 4: Simplify right side
    8,148.64x = 28,156,139.20
  5. Step 5: Solve for x
    x = 28,156,139.20/8,148.64
  6. Step 6: Final answer
    x = 3,455.32

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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.