Home / 1,126.10-1,554.48-823.74

Finding the Fourth Proportional to 1,126.10, 1,554.48 and 823.74

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Solution

The fourth proportional to 1,126.10, 1,554.48 and 823.74 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.10 : 1,554.48 = 823.74 : x
  2. Step 2: Convert to fraction form
    1,126.10/1,554.48 = 823.74/x
  3. Step 3: Cross multiply
    1,126.10x = 1,554.48 × 823.74
  4. Step 4: Simplify right side
    1,126.10x = 1,280,487.36
  5. Step 5: Solve for x
    x = 1,280,487.36/1,126.10
  6. Step 6: Final answer
    x = 1,137.10

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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.