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Finding the Fourth Proportional to 9,891.54, 13,650.54 and 5,415.48

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Solution

The fourth proportional to 9,891.54, 13,650.54 and 5,415.48 is: 7,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.54 : 13,650.54 = 5,415.48 : x
  2. Step 2: Convert to fraction form
    9,891.54/13,650.54 = 5,415.48/x
  3. Step 3: Cross multiply
    9,891.54x = 13,650.54 × 5,415.48
  4. Step 4: Simplify right side
    9,891.54x = 73,924,226.36
  5. Step 5: Solve for x
    x = 73,924,226.36/9,891.54
  6. Step 6: Final answer
    x = 7,473.48

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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.