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Finding the Fourth Proportional to 9,139.64, 13,706.64 and 4,754.70

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Solution

The fourth proportional to 9,139.64, 13,706.64 and 4,754.70 is: 7,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.64 : 13,706.64 = 4,754.70 : x
  2. Step 2: Convert to fraction form
    9,139.64/13,706.64 = 4,754.70/x
  3. Step 3: Cross multiply
    9,139.64x = 13,706.64 × 4,754.70
  4. Step 4: Simplify right side
    9,139.64x = 65,170,961.21
  5. Step 5: Solve for x
    x = 65,170,961.21/9,139.64
  6. Step 6: Final answer
    x = 7,130.59

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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.