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Finding the Fourth Proportional to 3,586.48, 5,378.88 and 989.20

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Solution

The fourth proportional to 3,586.48, 5,378.88 and 989.20 is: 1,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.48 : 5,378.88 = 989.20 : x
  2. Step 2: Convert to fraction form
    3,586.48/5,378.88 = 989.20/x
  3. Step 3: Cross multiply
    3,586.48x = 5,378.88 × 989.20
  4. Step 4: Simplify right side
    3,586.48x = 5,320,788.10
  5. Step 5: Solve for x
    x = 5,320,788.10/3,586.48
  6. Step 6: Final answer
    x = 1,483.57

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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.