Home / 1,127.10-1,555.86-824.74

Finding the Fourth Proportional to 1,127.10, 1,555.86 and 824.74

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Solution

The fourth proportional to 1,127.10, 1,555.86 and 824.74 is: 1,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.10 : 1,555.86 = 824.74 : x
  2. Step 2: Convert to fraction form
    1,127.10/1,555.86 = 824.74/x
  3. Step 3: Cross multiply
    1,127.10x = 1,555.86 × 824.74
  4. Step 4: Simplify right side
    1,127.10x = 1,283,179.98
  5. Step 5: Solve for x
    x = 1,283,179.98/1,127.10
  6. Step 6: Final answer
    x = 1,138.48

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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.