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Finding the Fourth Proportional to 10,137.68, 13,989.86 and 5,661.51

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Solution

The fourth proportional to 10,137.68, 13,989.86 and 5,661.51 is: 7,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.68 : 13,989.86 = 5,661.51 : x
  2. Step 2: Convert to fraction form
    10,137.68/13,989.86 = 5,661.51/x
  3. Step 3: Cross multiply
    10,137.68x = 13,989.86 × 5,661.51
  4. Step 4: Simplify right side
    10,137.68x = 79,203,732.29
  5. Step 5: Solve for x
    x = 79,203,732.29/10,137.68
  6. Step 6: Final answer
    x = 7,812.81

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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.