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Finding the Fourth Proportional to 5,641.86, 7,785.72 and 3,405

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Solution

The fourth proportional to 5,641.86, 7,785.72 and 3,405 is: 4,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.86 : 7,785.72 = 3,405 : x
  2. Step 2: Convert to fraction form
    5,641.86/7,785.72 = 3,405/x
  3. Step 3: Cross multiply
    5,641.86x = 7,785.72 × 3,405
  4. Step 4: Simplify right side
    5,641.86x = 26,510,376.60
  5. Step 5: Solve for x
    x = 26,510,376.60/5,641.86
  6. Step 6: Final answer
    x = 4,698.87

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Why These Related Problems?

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