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Finding the Fourth Proportional to 11,409.90, 17,114.61 and 5,253.90

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Solution

The fourth proportional to 11,409.90, 17,114.61 and 5,253.90 is: 7,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.90 : 17,114.61 = 5,253.90 : x
  2. Step 2: Convert to fraction form
    11,409.90/17,114.61 = 5,253.90/x
  3. Step 3: Cross multiply
    11,409.90x = 17,114.61 × 5,253.90
  4. Step 4: Simplify right side
    11,409.90x = 89,918,449.48
  5. Step 5: Solve for x
    x = 89,918,449.48/11,409.90
  6. Step 6: Final answer
    x = 7,880.74

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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.