Home / 1,678.71-2,513.21-1,027.47

Finding the Fourth Proportional to 1,678.71, 2,513.21 and 1,027.47

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Solution

The fourth proportional to 1,678.71, 2,513.21 and 1,027.47 is: 1,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.71 : 2,513.21 = 1,027.47 : x
  2. Step 2: Convert to fraction form
    1,678.71/2,513.21 = 1,027.47/x
  3. Step 3: Cross multiply
    1,678.71x = 2,513.21 × 1,027.47
  4. Step 4: Simplify right side
    1,678.71x = 2,582,242.74
  5. Step 5: Solve for x
    x = 2,582,242.74/1,678.71
  6. Step 6: Final answer
    x = 1,538.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.