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Finding the Fourth Proportional to 9,135, 13,702.95 and 2,979

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Solution

The fourth proportional to 9,135, 13,702.95 and 2,979 is: 4,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135 : 13,702.95 = 2,979 : x
  2. Step 2: Convert to fraction form
    9,135/13,702.95 = 2,979/x
  3. Step 3: Cross multiply
    9,135x = 13,702.95 × 2,979
  4. Step 4: Simplify right side
    9,135x = 40,821,088.05
  5. Step 5: Solve for x
    x = 40,821,088.05/9,135
  6. Step 6: Final answer
    x = 4,468.65

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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.