Home / 1,587.10-2,189.64-923.80

Finding the Fourth Proportional to 1,587.10, 2,189.64 and 923.80

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Solution

The fourth proportional to 1,587.10, 2,189.64 and 923.80 is: 1,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.10 : 2,189.64 = 923.80 : x
  2. Step 2: Convert to fraction form
    1,587.10/2,189.64 = 923.80/x
  3. Step 3: Cross multiply
    1,587.10x = 2,189.64 × 923.80
  4. Step 4: Simplify right side
    1,587.10x = 2,022,789.43
  5. Step 5: Solve for x
    x = 2,022,789.43/1,587.10
  6. Step 6: Final answer
    x = 1,274.52

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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.