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Finding the Fourth Proportional to 3,142.77, 4,717.04 and 3,131.01

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Solution

The fourth proportional to 3,142.77, 4,717.04 and 3,131.01 is: 4,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.77 : 4,717.04 = 3,131.01 : x
  2. Step 2: Convert to fraction form
    3,142.77/4,717.04 = 3,131.01/x
  3. Step 3: Cross multiply
    3,142.77x = 4,717.04 × 3,131.01
  4. Step 4: Simplify right side
    3,142.77x = 14,769,083.76
  5. Step 5: Solve for x
    x = 14,769,083.76/3,142.77
  6. Step 6: Final answer
    x = 4,699.38

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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.