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Finding the Fourth Proportional to 11,416.88, 17,117.92 and 7,509.44

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Solution

The fourth proportional to 11,416.88, 17,117.92 and 7,509.44 is: 11,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.88 : 17,117.92 = 7,509.44 : x
  2. Step 2: Convert to fraction form
    11,416.88/17,117.92 = 7,509.44/x
  3. Step 3: Cross multiply
    11,416.88x = 17,117.92 × 7,509.44
  4. Step 4: Simplify right side
    11,416.88x = 128,545,993.16
  5. Step 5: Solve for x
    x = 128,545,993.16/11,416.88
  6. Step 6: Final answer
    x = 11,259.29

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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.