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Finding the Fourth Proportional to 9,129.99, 12,601.42 and 5,937.74

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Solution

The fourth proportional to 9,129.99, 12,601.42 and 5,937.74 is: 8,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.99 : 12,601.42 = 5,937.74 : x
  2. Step 2: Convert to fraction form
    9,129.99/12,601.42 = 5,937.74/x
  3. Step 3: Cross multiply
    9,129.99x = 12,601.42 × 5,937.74
  4. Step 4: Simplify right side
    9,129.99x = 74,823,877.74
  5. Step 5: Solve for x
    x = 74,823,877.74/9,129.99
  6. Step 6: Final answer
    x = 8,195.40

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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.