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Finding the Fourth Proportional to 10,738.60, 16,107.90 and 7,239.40

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Solution

The fourth proportional to 10,738.60, 16,107.90 and 7,239.40 is: 10,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.60 : 16,107.90 = 7,239.40 : x
  2. Step 2: Convert to fraction form
    10,738.60/16,107.90 = 7,239.40/x
  3. Step 3: Cross multiply
    10,738.60x = 16,107.90 × 7,239.40
  4. Step 4: Simplify right side
    10,738.60x = 116,611,531.26
  5. Step 5: Solve for x
    x = 116,611,531.26/10,738.60
  6. Step 6: Final answer
    x = 10,859.10

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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.