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Finding the Fourth Proportional to 8,930.99, 12,314.63 and 5,696.48

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Solution

The fourth proportional to 8,930.99, 12,314.63 and 5,696.48 is: 7,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.99 : 12,314.63 = 5,696.48 : x
  2. Step 2: Convert to fraction form
    8,930.99/12,314.63 = 5,696.48/x
  3. Step 3: Cross multiply
    8,930.99x = 12,314.63 × 5,696.48
  4. Step 4: Simplify right side
    8,930.99x = 70,150,088.53
  5. Step 5: Solve for x
    x = 70,150,088.53/8,930.99
  6. Step 6: Final answer
    x = 7,854.68

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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.