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Finding the Fourth Proportional to 9,138.99, 13,708.56 and 7,814.16

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Solution

The fourth proportional to 9,138.99, 13,708.56 and 7,814.16 is: 11,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.99 : 13,708.56 = 7,814.16 : x
  2. Step 2: Convert to fraction form
    9,138.99/13,708.56 = 7,814.16/x
  3. Step 3: Cross multiply
    9,138.99x = 13,708.56 × 7,814.16
  4. Step 4: Simplify right side
    9,138.99x = 107,120,881.21
  5. Step 5: Solve for x
    x = 107,120,881.21/9,138.99
  6. Step 6: Final answer
    x = 11,721.30

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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.