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Finding the Fourth Proportional to 4,607.86, 6,911.84 and 1,145.11

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Solution

The fourth proportional to 4,607.86, 6,911.84 and 1,145.11 is: 1,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.86 : 6,911.84 = 1,145.11 : x
  2. Step 2: Convert to fraction form
    4,607.86/6,911.84 = 1,145.11/x
  3. Step 3: Cross multiply
    4,607.86x = 6,911.84 × 1,145.11
  4. Step 4: Simplify right side
    4,607.86x = 7,914,824.31
  5. Step 5: Solve for x
    x = 7,914,824.31/4,607.86
  6. Step 6: Final answer
    x = 1,717.68

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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.