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Finding the Fourth Proportional to 5,170.77, 7,129 and 3,756.51

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Solution

The fourth proportional to 5,170.77, 7,129 and 3,756.51 is: 5,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.77 : 7,129 = 3,756.51 : x
  2. Step 2: Convert to fraction form
    5,170.77/7,129 = 3,756.51/x
  3. Step 3: Cross multiply
    5,170.77x = 7,129 × 3,756.51
  4. Step 4: Simplify right side
    5,170.77x = 26,780,159.79
  5. Step 5: Solve for x
    x = 26,780,159.79/5,170.77
  6. Step 6: Final answer
    x = 5,179.14

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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.