Home / 1,587.02-2,189.70-923.47

Finding the Fourth Proportional to 1,587.02, 2,189.70 and 923.47

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Solution

The fourth proportional to 1,587.02, 2,189.70 and 923.47 is: 1,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.02 : 2,189.70 = 923.47 : x
  2. Step 2: Convert to fraction form
    1,587.02/2,189.70 = 923.47/x
  3. Step 3: Cross multiply
    1,587.02x = 2,189.70 × 923.47
  4. Step 4: Simplify right side
    1,587.02x = 2,022,116.78
  5. Step 5: Solve for x
    x = 2,022,116.78/1,587.02
  6. Step 6: Final answer
    x = 1,274.16

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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.