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Finding the Fourth Proportional to 12,583.17, 18,858.34 and 5,180.17

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Solution

The fourth proportional to 12,583.17, 18,858.34 and 5,180.17 is: 7,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.17 : 18,858.34 = 5,180.17 : x
  2. Step 2: Convert to fraction form
    12,583.17/18,858.34 = 5,180.17/x
  3. Step 3: Cross multiply
    12,583.17x = 18,858.34 × 5,180.17
  4. Step 4: Simplify right side
    12,583.17x = 97,689,407.12
  5. Step 5: Solve for x
    x = 97,689,407.12/12,583.17
  6. Step 6: Final answer
    x = 7,763.50

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1.5x scale

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.