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Finding the Fourth Proportional to 3,662.60, 5,491.20 and 1,580.90

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Solution

The fourth proportional to 3,662.60, 5,491.20 and 1,580.90 is: 2,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.60 : 5,491.20 = 1,580.90 : x
  2. Step 2: Convert to fraction form
    3,662.60/5,491.20 = 1,580.90/x
  3. Step 3: Cross multiply
    3,662.60x = 5,491.20 × 1,580.90
  4. Step 4: Simplify right side
    3,662.60x = 8,681,038.08
  5. Step 5: Solve for x
    x = 8,681,038.08/3,662.60
  6. Step 6: Final answer
    x = 2,370.18

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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.