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Finding the Fourth Proportional to 12,431.12, 18,649.95 and 4,640

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Solution

The fourth proportional to 12,431.12, 18,649.95 and 4,640 is: 6,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.12 : 18,649.95 = 4,640 : x
  2. Step 2: Convert to fraction form
    12,431.12/18,649.95 = 4,640/x
  3. Step 3: Cross multiply
    12,431.12x = 18,649.95 × 4,640
  4. Step 4: Simplify right side
    12,431.12x = 86,535,768
  5. Step 5: Solve for x
    x = 86,535,768/12,431.12
  6. Step 6: Final answer
    x = 6,961.22

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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.