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Finding the Fourth Proportional to 2,470, 3,408.60 and 1,366

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Solution

The fourth proportional to 2,470, 3,408.60 and 1,366 is: 1,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,408.60 = 1,366 : x
  2. Step 2: Convert to fraction form
    2,470/3,408.60 = 1,366/x
  3. Step 3: Cross multiply
    2,470x = 3,408.60 × 1,366
  4. Step 4: Simplify right side
    2,470x = 4,656,147.60
  5. Step 5: Solve for x
    x = 4,656,147.60/2,470
  6. Step 6: Final answer
    x = 1,885.08

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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.