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Finding the Fourth Proportional to 9,911.64, 13,670.19 and 8,424.48

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Solution

The fourth proportional to 9,911.64, 13,670.19 and 8,424.48 is: 11,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.64 : 13,670.19 = 8,424.48 : x
  2. Step 2: Convert to fraction form
    9,911.64/13,670.19 = 8,424.48/x
  3. Step 3: Cross multiply
    9,911.64x = 13,670.19 × 8,424.48
  4. Step 4: Simplify right side
    9,911.64x = 115,164,242.25
  5. Step 5: Solve for x
    x = 115,164,242.25/9,911.64
  6. Step 6: Final answer
    x = 11,619.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.