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Finding the Fourth Proportional to 12,987, 19,464 and 8,305.20

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Solution

The fourth proportional to 12,987, 19,464 and 8,305.20 is: 12,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 19,464 = 8,305.20 : x
  2. Step 2: Convert to fraction form
    12,987/19,464 = 8,305.20/x
  3. Step 3: Cross multiply
    12,987x = 19,464 × 8,305.20
  4. Step 4: Simplify right side
    12,987x = 161,652,412.80
  5. Step 5: Solve for x
    x = 161,652,412.80/12,987
  6. Step 6: Final answer
    x = 12,447.25

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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.