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Finding the Fourth Proportional to 5,605.10, 8,407.09 and 1,906.84

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Solution

The fourth proportional to 5,605.10, 8,407.09 and 1,906.84 is: 2,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.10 : 8,407.09 = 1,906.84 : x
  2. Step 2: Convert to fraction form
    5,605.10/8,407.09 = 1,906.84/x
  3. Step 3: Cross multiply
    5,605.10x = 8,407.09 × 1,906.84
  4. Step 4: Simplify right side
    5,605.10x = 16,030,988.39
  5. Step 5: Solve for x
    x = 16,030,988.39/5,605.10
  6. Step 6: Final answer
    x = 2,860.07

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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.