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Finding the Fourth Proportional to 3,647.57, 5,470.14 and 1,455.71

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Solution

The fourth proportional to 3,647.57, 5,470.14 and 1,455.71 is: 2,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.57 : 5,470.14 = 1,455.71 : x
  2. Step 2: Convert to fraction form
    3,647.57/5,470.14 = 1,455.71/x
  3. Step 3: Cross multiply
    3,647.57x = 5,470.14 × 1,455.71
  4. Step 4: Simplify right side
    3,647.57x = 7,962,937.50
  5. Step 5: Solve for x
    x = 7,962,937.50/3,647.57
  6. Step 6: Final answer
    x = 2,183.08

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1.5x scale

Why These Related Problems?

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