Home / 1,513.24-2,088.46-923.80

Finding the Fourth Proportional to 1,513.24, 2,088.46 and 923.80

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Solution

The fourth proportional to 1,513.24, 2,088.46 and 923.80 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.24 : 2,088.46 = 923.80 : x
  2. Step 2: Convert to fraction form
    1,513.24/2,088.46 = 923.80/x
  3. Step 3: Cross multiply
    1,513.24x = 2,088.46 × 923.80
  4. Step 4: Simplify right side
    1,513.24x = 1,929,319.35
  5. Step 5: Solve for x
    x = 1,929,319.35/1,513.24
  6. Step 6: Final answer
    x = 1,274.96

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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.