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Finding the Fourth Proportional to 3,776, 5,192.39 and 3,277.77

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Solution

The fourth proportional to 3,776, 5,192.39 and 3,277.77 is: 4,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776 : 5,192.39 = 3,277.77 : x
  2. Step 2: Convert to fraction form
    3,776/5,192.39 = 3,277.77/x
  3. Step 3: Cross multiply
    3,776x = 5,192.39 × 3,277.77
  4. Step 4: Simplify right side
    3,776x = 17,019,417.82
  5. Step 5: Solve for x
    x = 17,019,417.82/3,776
  6. Step 6: Final answer
    x = 4,507.26

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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.