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Finding the Fourth Proportional to 12,420.88, 17,137.87 and 8,395.20

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Solution

The fourth proportional to 12,420.88, 17,137.87 and 8,395.20 is: 11,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.88 : 17,137.87 = 8,395.20 : x
  2. Step 2: Convert to fraction form
    12,420.88/17,137.87 = 8,395.20/x
  3. Step 3: Cross multiply
    12,420.88x = 17,137.87 × 8,395.20
  4. Step 4: Simplify right side
    12,420.88x = 143,875,825.24
  5. Step 5: Solve for x
    x = 143,875,825.24/12,420.88
  6. Step 6: Final answer
    x = 11,583.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.