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Finding the Fourth Proportional to 9,139.08, 13,702.95 and 3,940.50

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Solution

The fourth proportional to 9,139.08, 13,702.95 and 3,940.50 is: 5,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.08 : 13,702.95 = 3,940.50 : x
  2. Step 2: Convert to fraction form
    9,139.08/13,702.95 = 3,940.50/x
  3. Step 3: Cross multiply
    9,139.08x = 13,702.95 × 3,940.50
  4. Step 4: Simplify right side
    9,139.08x = 53,996,474.48
  5. Step 5: Solve for x
    x = 53,996,474.48/9,139.08
  6. Step 6: Final answer
    x = 5,908.31

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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.