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Finding the Fourth Proportional to 13,756.86, 20,616.81 and 7,507.51

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Solution

The fourth proportional to 13,756.86, 20,616.81 and 7,507.51 is: 11,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.86 : 20,616.81 = 7,507.51 : x
  2. Step 2: Convert to fraction form
    13,756.86/20,616.81 = 7,507.51/x
  3. Step 3: Cross multiply
    13,756.86x = 20,616.81 × 7,507.51
  4. Step 4: Simplify right side
    13,756.86x = 154,780,907.24
  5. Step 5: Solve for x
    x = 154,780,907.24/13,756.86
  6. Step 6: Final answer
    x = 11,251.18

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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.