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Finding the Fourth Proportional to 8,585.93, 12,854.57 and 5,458.16

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Solution

The fourth proportional to 8,585.93, 12,854.57 and 5,458.16 is: 8,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.93 : 12,854.57 = 5,458.16 : x
  2. Step 2: Convert to fraction form
    8,585.93/12,854.57 = 5,458.16/x
  3. Step 3: Cross multiply
    8,585.93x = 12,854.57 × 5,458.16
  4. Step 4: Simplify right side
    8,585.93x = 70,162,208.23
  5. Step 5: Solve for x
    x = 70,162,208.23/8,585.93
  6. Step 6: Final answer
    x = 8,171.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.