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Finding the Fourth Proportional to 13,722.60, 18,939 and 7,756.16

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Solution

The fourth proportional to 13,722.60, 18,939 and 7,756.16 is: 10,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.60 : 18,939 = 7,756.16 : x
  2. Step 2: Convert to fraction form
    13,722.60/18,939 = 7,756.16/x
  3. Step 3: Cross multiply
    13,722.60x = 18,939 × 7,756.16
  4. Step 4: Simplify right side
    13,722.60x = 146,893,914.24
  5. Step 5: Solve for x
    x = 146,893,914.24/13,722.60
  6. Step 6: Final answer
    x = 10,704.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.