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Finding the Fourth Proportional to 4,301.77, 6,453.02 and 1,340

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Solution

The fourth proportional to 4,301.77, 6,453.02 and 1,340 is: 2,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.77 : 6,453.02 = 1,340 : x
  2. Step 2: Convert to fraction form
    4,301.77/6,453.02 = 1,340/x
  3. Step 3: Cross multiply
    4,301.77x = 6,453.02 × 1,340
  4. Step 4: Simplify right side
    4,301.77x = 8,647,040.10
  5. Step 5: Solve for x
    x = 8,647,040.10/4,301.77
  6. Step 6: Final answer
    x = 2,010.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.