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Finding the Fourth Proportional to 3,527.45, 5,290.63 and 930.59

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Solution

The fourth proportional to 3,527.45, 5,290.63 and 930.59 is: 1,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.45 : 5,290.63 = 930.59 : x
  2. Step 2: Convert to fraction form
    3,527.45/5,290.63 = 930.59/x
  3. Step 3: Cross multiply
    3,527.45x = 5,290.63 × 930.59
  4. Step 4: Simplify right side
    3,527.45x = 4,923,403.67
  5. Step 5: Solve for x
    x = 4,923,403.67/3,527.45
  6. Step 6: Final answer
    x = 1,395.74

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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.