Home / 2,047.28-2,824.42-1,207.68

Finding the Fourth Proportional to 2,047.28, 2,824.42 and 1,207.68

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Solution

The fourth proportional to 2,047.28, 2,824.42 and 1,207.68 is: 1,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.28 : 2,824.42 = 1,207.68 : x
  2. Step 2: Convert to fraction form
    2,047.28/2,824.42 = 1,207.68/x
  3. Step 3: Cross multiply
    2,047.28x = 2,824.42 × 1,207.68
  4. Step 4: Simplify right side
    2,047.28x = 3,411,008.03
  5. Step 5: Solve for x
    x = 3,411,008.03/2,047.28
  6. Step 6: Final answer
    x = 1,666.12

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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.