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Finding the Fourth Proportional to 5,811.13, 8,748.31 and 5,294.45

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Solution

The fourth proportional to 5,811.13, 8,748.31 and 5,294.45 is: 7,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.13 : 8,748.31 = 5,294.45 : x
  2. Step 2: Convert to fraction form
    5,811.13/8,748.31 = 5,294.45/x
  3. Step 3: Cross multiply
    5,811.13x = 8,748.31 × 5,294.45
  4. Step 4: Simplify right side
    5,811.13x = 46,317,446.14
  5. Step 5: Solve for x
    x = 46,317,446.14/5,811.13
  6. Step 6: Final answer
    x = 7,970.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.