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Finding the Fourth Proportional to 11,287.60, 15,574.92 and 6,506.48

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Solution

The fourth proportional to 11,287.60, 15,574.92 and 6,506.48 is: 8,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.60 : 15,574.92 = 6,506.48 : x
  2. Step 2: Convert to fraction form
    11,287.60/15,574.92 = 6,506.48/x
  3. Step 3: Cross multiply
    11,287.60x = 15,574.92 × 6,506.48
  4. Step 4: Simplify right side
    11,287.60x = 101,337,905.48
  5. Step 5: Solve for x
    x = 101,337,905.48/11,287.60
  6. Step 6: Final answer
    x = 8,977.81

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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.