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Finding the Fourth Proportional to 2,348.72, 3,241.20 and 1,300.78

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Solution

The fourth proportional to 2,348.72, 3,241.20 and 1,300.78 is: 1,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.72 : 3,241.20 = 1,300.78 : x
  2. Step 2: Convert to fraction form
    2,348.72/3,241.20 = 1,300.78/x
  3. Step 3: Cross multiply
    2,348.72x = 3,241.20 × 1,300.78
  4. Step 4: Simplify right side
    2,348.72x = 4,216,088.14
  5. Step 5: Solve for x
    x = 4,216,088.14/2,348.72
  6. Step 6: Final answer
    x = 1,795.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.