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Finding the Fourth Proportional to 1,553.96, 2,144.27 and 924.51

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Solution

The fourth proportional to 1,553.96, 2,144.27 and 924.51 is: 1,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.96 : 2,144.27 = 924.51 : x
  2. Step 2: Convert to fraction form
    1,553.96/2,144.27 = 924.51/x
  3. Step 3: Cross multiply
    1,553.96x = 2,144.27 × 924.51
  4. Step 4: Simplify right side
    1,553.96x = 1,982,399.06
  5. Step 5: Solve for x
    x = 1,982,399.06/1,553.96
  6. Step 6: Final answer
    x = 1,275.71

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1.5x scale

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.