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Finding the Fourth Proportional to 3,810.42, 5,715.89 and 1,470.45

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Solution

The fourth proportional to 3,810.42, 5,715.89 and 1,470.45 is: 2,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.42 : 5,715.89 = 1,470.45 : x
  2. Step 2: Convert to fraction form
    3,810.42/5,715.89 = 1,470.45/x
  3. Step 3: Cross multiply
    3,810.42x = 5,715.89 × 1,470.45
  4. Step 4: Simplify right side
    3,810.42x = 8,404,923.10
  5. Step 5: Solve for x
    x = 8,404,923.10/3,810.42
  6. Step 6: Final answer
    x = 2,205.77

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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.