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Finding the Fourth Proportional to 2,224, 3,069.12 and 1,292.50

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Solution

The fourth proportional to 2,224, 3,069.12 and 1,292.50 is: 1,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224 : 3,069.12 = 1,292.50 : x
  2. Step 2: Convert to fraction form
    2,224/3,069.12 = 1,292.50/x
  3. Step 3: Cross multiply
    2,224x = 3,069.12 × 1,292.50
  4. Step 4: Simplify right side
    2,224x = 3,966,837.60
  5. Step 5: Solve for x
    x = 3,966,837.60/2,224
  6. Step 6: Final answer
    x = 1,783.65

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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.