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Finding the Fourth Proportional to 12,431.64, 18,648.18 and 4,640.52

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Solution

The fourth proportional to 12,431.64, 18,648.18 and 4,640.52 is: 6,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.64 : 18,648.18 = 4,640.52 : x
  2. Step 2: Convert to fraction form
    12,431.64/18,648.18 = 4,640.52/x
  3. Step 3: Cross multiply
    12,431.64x = 18,648.18 × 4,640.52
  4. Step 4: Simplify right side
    12,431.64x = 86,537,252.25
  5. Step 5: Solve for x
    x = 86,537,252.25/12,431.64
  6. Step 6: Final answer
    x = 6,961.05

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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.