Home / 1,112.34-1,666.35-1,023.78

Finding the Fourth Proportional to 1,112.34, 1,666.35 and 1,023.78

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Solution

The fourth proportional to 1,112.34, 1,666.35 and 1,023.78 is: 1,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 1,666.35 = 1,023.78 : x
  2. Step 2: Convert to fraction form
    1,112.34/1,666.35 = 1,023.78/x
  3. Step 3: Cross multiply
    1,112.34x = 1,666.35 × 1,023.78
  4. Step 4: Simplify right side
    1,112.34x = 1,705,975.80
  5. Step 5: Solve for x
    x = 1,705,975.80/1,112.34
  6. Step 6: Final answer
    x = 1,533.68

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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.