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Finding the Fourth Proportional to 3,136.13, 4,703.49 and 945.02

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Solution

The fourth proportional to 3,136.13, 4,703.49 and 945.02 is: 1,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.13 : 4,703.49 = 945.02 : x
  2. Step 2: Convert to fraction form
    3,136.13/4,703.49 = 945.02/x
  3. Step 3: Cross multiply
    3,136.13x = 4,703.49 × 945.02
  4. Step 4: Simplify right side
    3,136.13x = 4,444,892.12
  5. Step 5: Solve for x
    x = 4,444,892.12/3,136.13
  6. Step 6: Final answer
    x = 1,417.32

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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.