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Finding the Fourth Proportional to 5,296.15, 7,944.63 and 1,400.50

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Solution

The fourth proportional to 5,296.15, 7,944.63 and 1,400.50 is: 2,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.15 : 7,944.63 = 1,400.50 : x
  2. Step 2: Convert to fraction form
    5,296.15/7,944.63 = 1,400.50/x
  3. Step 3: Cross multiply
    5,296.15x = 7,944.63 × 1,400.50
  4. Step 4: Simplify right side
    5,296.15x = 11,126,454.32
  5. Step 5: Solve for x
    x = 11,126,454.32/5,296.15
  6. Step 6: Final answer
    x = 2,100.86

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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.