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Finding the Fourth Proportional to 9,989.57, 14,979.72 and 5,830.78

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Solution

The fourth proportional to 9,989.57, 14,979.72 and 5,830.78 is: 8,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.57 : 14,979.72 = 5,830.78 : x
  2. Step 2: Convert to fraction form
    9,989.57/14,979.72 = 5,830.78/x
  3. Step 3: Cross multiply
    9,989.57x = 14,979.72 × 5,830.78
  4. Step 4: Simplify right side
    9,989.57x = 87,343,451.78
  5. Step 5: Solve for x
    x = 87,343,451.78/9,989.57
  6. Step 6: Final answer
    x = 8,743.46

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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.