Home / 1,552.50-2,142.75-923.40

Finding the Fourth Proportional to 1,552.50, 2,142.75 and 923.40

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Solution

The fourth proportional to 1,552.50, 2,142.75 and 923.40 is: 1,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.50 : 2,142.75 = 923.40 : x
  2. Step 2: Convert to fraction form
    1,552.50/2,142.75 = 923.40/x
  3. Step 3: Cross multiply
    1,552.50x = 2,142.75 × 923.40
  4. Step 4: Simplify right side
    1,552.50x = 1,978,615.35
  5. Step 5: Solve for x
    x = 1,978,615.35/1,552.50
  6. Step 6: Final answer
    x = 1,274.47

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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.