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Finding the Fourth Proportional to 3,406.60, 5,108.70 and 1,558.60

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Solution

The fourth proportional to 3,406.60, 5,108.70 and 1,558.60 is: 2,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.60 : 5,108.70 = 1,558.60 : x
  2. Step 2: Convert to fraction form
    3,406.60/5,108.70 = 1,558.60/x
  3. Step 3: Cross multiply
    3,406.60x = 5,108.70 × 1,558.60
  4. Step 4: Simplify right side
    3,406.60x = 7,962,419.82
  5. Step 5: Solve for x
    x = 7,962,419.82/3,406.60
  6. Step 6: Final answer
    x = 2,337.35

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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.