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Finding the Fourth Proportional to 5,263.57, 7,262.89 and 3,139.01

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Solution

The fourth proportional to 5,263.57, 7,262.89 and 3,139.01 is: 4,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.57 : 7,262.89 = 3,139.01 : x
  2. Step 2: Convert to fraction form
    5,263.57/7,262.89 = 3,139.01/x
  3. Step 3: Cross multiply
    5,263.57x = 7,262.89 × 3,139.01
  4. Step 4: Simplify right side
    5,263.57x = 22,798,284.34
  5. Step 5: Solve for x
    x = 22,798,284.34/5,263.57
  6. Step 6: Final answer
    x = 4,331.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.