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Finding the Fourth Proportional to 9,138.57, 13,708.53 and 8,050.47

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Solution

The fourth proportional to 9,138.57, 13,708.53 and 8,050.47 is: 12,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.57 : 13,708.53 = 8,050.47 : x
  2. Step 2: Convert to fraction form
    9,138.57/13,708.53 = 8,050.47/x
  3. Step 3: Cross multiply
    9,138.57x = 13,708.53 × 8,050.47
  4. Step 4: Simplify right side
    9,138.57x = 110,360,109.51
  5. Step 5: Solve for x
    x = 110,360,109.51/9,138.57
  6. Step 6: Final answer
    x = 12,076.30

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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.