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Finding the Fourth Proportional to 9,134.76, 13,702.20 and 2,894.64

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Solution

The fourth proportional to 9,134.76, 13,702.20 and 2,894.64 is: 4,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.76 : 13,702.20 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    9,134.76/13,702.20 = 2,894.64/x
  3. Step 3: Cross multiply
    9,134.76x = 13,702.20 × 2,894.64
  4. Step 4: Simplify right side
    9,134.76x = 39,662,936.21
  5. Step 5: Solve for x
    x = 39,662,936.21/9,134.76
  6. Step 6: Final answer
    x = 4,341.98

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Why These Related Problems?

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