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Finding the Fourth Proportional to 2,407.19, 3,611.19 and 847.13

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Solution

The fourth proportional to 2,407.19, 3,611.19 and 847.13 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.19 : 3,611.19 = 847.13 : x
  2. Step 2: Convert to fraction form
    2,407.19/3,611.19 = 847.13/x
  3. Step 3: Cross multiply
    2,407.19x = 3,611.19 × 847.13
  4. Step 4: Simplify right side
    2,407.19x = 3,059,147.38
  5. Step 5: Solve for x
    x = 3,059,147.38/2,407.19
  6. Step 6: Final answer
    x = 1,270.84

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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.