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Finding the Fourth Proportional to 9,137.64, 13,715.02 and 4,758.20

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Solution

The fourth proportional to 9,137.64, 13,715.02 and 4,758.20 is: 7,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.64 : 13,715.02 = 4,758.20 : x
  2. Step 2: Convert to fraction form
    9,137.64/13,715.02 = 4,758.20/x
  3. Step 3: Cross multiply
    9,137.64x = 13,715.02 × 4,758.20
  4. Step 4: Simplify right side
    9,137.64x = 65,258,808.16
  5. Step 5: Solve for x
    x = 65,258,808.16/9,137.64
  6. Step 6: Final answer
    x = 7,141.76

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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.