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Finding the Fourth Proportional to 4,659.59, 6,989.20 and 1,581.59

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Solution

The fourth proportional to 4,659.59, 6,989.20 and 1,581.59 is: 2,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.59 : 6,989.20 = 1,581.59 : x
  2. Step 2: Convert to fraction form
    4,659.59/6,989.20 = 1,581.59/x
  3. Step 3: Cross multiply
    4,659.59x = 6,989.20 × 1,581.59
  4. Step 4: Simplify right side
    4,659.59x = 11,054,048.83
  5. Step 5: Solve for x
    x = 11,054,048.83/4,659.59
  6. Step 6: Final answer
    x = 2,372.32

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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.