Home / 1,382.10-1,905.93-1,224.78

Finding the Fourth Proportional to 1,382.10, 1,905.93 and 1,224.78

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Solution

The fourth proportional to 1,382.10, 1,905.93 and 1,224.78 is: 1,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.10 : 1,905.93 = 1,224.78 : x
  2. Step 2: Convert to fraction form
    1,382.10/1,905.93 = 1,224.78/x
  3. Step 3: Cross multiply
    1,382.10x = 1,905.93 × 1,224.78
  4. Step 4: Simplify right side
    1,382.10x = 2,334,344.95
  5. Step 5: Solve for x
    x = 2,334,344.95/1,382.10
  6. Step 6: Final answer
    x = 1,688.98

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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.