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Finding the Fourth Proportional to 3,605.40, 5,407.64 and 1,140

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Solution

The fourth proportional to 3,605.40, 5,407.64 and 1,140 is: 1,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.40 : 5,407.64 = 1,140 : x
  2. Step 2: Convert to fraction form
    3,605.40/5,407.64 = 1,140/x
  3. Step 3: Cross multiply
    3,605.40x = 5,407.64 × 1,140
  4. Step 4: Simplify right side
    3,605.40x = 6,164,703.90
  5. Step 5: Solve for x
    x = 6,164,703.90/3,605.40
  6. Step 6: Final answer
    x = 1,709.85

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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.