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Finding the Fourth Proportional to 3,606.72, 5,407.10 and 1,140

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Solution

The fourth proportional to 3,606.72, 5,407.10 and 1,140 is: 1,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.72 : 5,407.10 = 1,140 : x
  2. Step 2: Convert to fraction form
    3,606.72/5,407.10 = 1,140/x
  3. Step 3: Cross multiply
    3,606.72x = 5,407.10 × 1,140
  4. Step 4: Simplify right side
    3,606.72x = 6,164,094
  5. Step 5: Solve for x
    x = 6,164,094/3,606.72
  6. Step 6: Final answer
    x = 1,709.06

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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.