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Finding the Fourth Proportional to 3,686.76, 5,072.64 and 3,187.80

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Solution

The fourth proportional to 3,686.76, 5,072.64 and 3,187.80 is: 4,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.76 : 5,072.64 = 3,187.80 : x
  2. Step 2: Convert to fraction form
    3,686.76/5,072.64 = 3,187.80/x
  3. Step 3: Cross multiply
    3,686.76x = 5,072.64 × 3,187.80
  4. Step 4: Simplify right side
    3,686.76x = 16,170,561.79
  5. Step 5: Solve for x
    x = 16,170,561.79/3,686.76
  6. Step 6: Final answer
    x = 4,386.12

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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.