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Finding the Fourth Proportional to 11,222.88, 15,498.72 and 9,240

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Solution

The fourth proportional to 11,222.88, 15,498.72 and 9,240 is: 12,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.88 : 15,498.72 = 9,240 : x
  2. Step 2: Convert to fraction form
    11,222.88/15,498.72 = 9,240/x
  3. Step 3: Cross multiply
    11,222.88x = 15,498.72 × 9,240
  4. Step 4: Simplify right side
    11,222.88x = 143,208,172.80
  5. Step 5: Solve for x
    x = 143,208,172.80/11,222.88
  6. Step 6: Final answer
    x = 12,760.38

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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.