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Finding the Fourth Proportional to 9,122.64, 13,679.70 and 4,738.92

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Solution

The fourth proportional to 9,122.64, 13,679.70 and 4,738.92 is: 7,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.64 : 13,679.70 = 4,738.92 : x
  2. Step 2: Convert to fraction form
    9,122.64/13,679.70 = 4,738.92/x
  3. Step 3: Cross multiply
    9,122.64x = 13,679.70 × 4,738.92
  4. Step 4: Simplify right side
    9,122.64x = 64,827,003.92
  5. Step 5: Solve for x
    x = 64,827,003.92/9,122.64
  6. Step 6: Final answer
    x = 7,106.17

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1.5x scale

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.