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Finding the Fourth Proportional to 3,118.69, 4,677.43 and 1,475

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Solution

The fourth proportional to 3,118.69, 4,677.43 and 1,475 is: 2,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.69 : 4,677.43 = 1,475 : x
  2. Step 2: Convert to fraction form
    3,118.69/4,677.43 = 1,475/x
  3. Step 3: Cross multiply
    3,118.69x = 4,677.43 × 1,475
  4. Step 4: Simplify right side
    3,118.69x = 6,899,209.25
  5. Step 5: Solve for x
    x = 6,899,209.25/3,118.69
  6. Step 6: Final answer
    x = 2,212.21

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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.