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Finding the Fourth Proportional to 7,854.48, 10,830.96 and 5,861.84

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Solution

The fourth proportional to 7,854.48, 10,830.96 and 5,861.84 is: 8,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.48 : 10,830.96 = 5,861.84 : x
  2. Step 2: Convert to fraction form
    7,854.48/10,830.96 = 5,861.84/x
  3. Step 3: Cross multiply
    7,854.48x = 10,830.96 × 5,861.84
  4. Step 4: Simplify right side
    7,854.48x = 63,489,354.57
  5. Step 5: Solve for x
    x = 63,489,354.57/7,854.48
  6. Step 6: Final answer
    x = 8,083.20

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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.