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Finding the Fourth Proportional to 2,562.38, 3,843.64 and 713.50

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Solution

The fourth proportional to 2,562.38, 3,843.64 and 713.50 is: 1,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.38 : 3,843.64 = 713.50 : x
  2. Step 2: Convert to fraction form
    2,562.38/3,843.64 = 713.50/x
  3. Step 3: Cross multiply
    2,562.38x = 3,843.64 × 713.50
  4. Step 4: Simplify right side
    2,562.38x = 2,742,437.14
  5. Step 5: Solve for x
    x = 2,742,437.14/2,562.38
  6. Step 6: Final answer
    x = 1,070.27

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1.5x scale

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.