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Finding the Fourth Proportional to 9,370.85, 13,987.90 and 8,188.53

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Solution

The fourth proportional to 9,370.85, 13,987.90 and 8,188.53 is: 12,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.85 : 13,987.90 = 8,188.53 : x
  2. Step 2: Convert to fraction form
    9,370.85/13,987.90 = 8,188.53/x
  3. Step 3: Cross multiply
    9,370.85x = 13,987.90 × 8,188.53
  4. Step 4: Simplify right side
    9,370.85x = 114,540,338.79
  5. Step 5: Solve for x
    x = 114,540,338.79/9,370.85
  6. Step 6: Final answer
    x = 12,223.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.