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Finding the Fourth Proportional to 3,118.59, 4,677.80 and 810.09

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Solution

The fourth proportional to 3,118.59, 4,677.80 and 810.09 is: 1,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.59 : 4,677.80 = 810.09 : x
  2. Step 2: Convert to fraction form
    3,118.59/4,677.80 = 810.09/x
  3. Step 3: Cross multiply
    3,118.59x = 4,677.80 × 810.09
  4. Step 4: Simplify right side
    3,118.59x = 3,789,434.95
  5. Step 5: Solve for x
    x = 3,789,434.95/3,118.59
  6. Step 6: Final answer
    x = 1,215.11

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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.