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Finding the Fourth Proportional to 7,874.86, 10,856.42 and 5,632.82

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Solution

The fourth proportional to 7,874.86, 10,856.42 and 5,632.82 is: 7,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.86 : 10,856.42 = 5,632.82 : x
  2. Step 2: Convert to fraction form
    7,874.86/10,856.42 = 5,632.82/x
  3. Step 3: Cross multiply
    7,874.86x = 10,856.42 × 5,632.82
  4. Step 4: Simplify right side
    7,874.86x = 61,152,259.70
  5. Step 5: Solve for x
    x = 61,152,259.70/7,874.86
  6. Step 6: Final answer
    x = 7,765.50

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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.