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Finding the Fourth Proportional to 3,765.59, 5,648.80 and 1,300.13

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Solution

The fourth proportional to 3,765.59, 5,648.80 and 1,300.13 is: 1,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.59 : 5,648.80 = 1,300.13 : x
  2. Step 2: Convert to fraction form
    3,765.59/5,648.80 = 1,300.13/x
  3. Step 3: Cross multiply
    3,765.59x = 5,648.80 × 1,300.13
  4. Step 4: Simplify right side
    3,765.59x = 7,344,174.34
  5. Step 5: Solve for x
    x = 7,344,174.34/3,765.59
  6. Step 6: Final answer
    x = 1,950.34

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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.