Home / 1,402.14-2,102.67-477.54

Finding the Fourth Proportional to 1,402.14, 2,102.67 and 477.54

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Solution

The fourth proportional to 1,402.14, 2,102.67 and 477.54 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.14 : 2,102.67 = 477.54 : x
  2. Step 2: Convert to fraction form
    1,402.14/2,102.67 = 477.54/x
  3. Step 3: Cross multiply
    1,402.14x = 2,102.67 × 477.54
  4. Step 4: Simplify right side
    1,402.14x = 1,004,109.03
  5. Step 5: Solve for x
    x = 1,004,109.03/1,402.14
  6. Step 6: Final answer
    x = 716.13

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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.