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Finding the Fourth Proportional to 3,586.13, 5,378.58 and 953.67

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Solution

The fourth proportional to 3,586.13, 5,378.58 and 953.67 is: 1,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.13 : 5,378.58 = 953.67 : x
  2. Step 2: Convert to fraction form
    3,586.13/5,378.58 = 953.67/x
  3. Step 3: Cross multiply
    3,586.13x = 5,378.58 × 953.67
  4. Step 4: Simplify right side
    3,586.13x = 5,129,390.39
  5. Step 5: Solve for x
    x = 5,129,390.39/3,586.13
  6. Step 6: Final answer
    x = 1,430.34

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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.