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Finding the Fourth Proportional to 9,891.72, 14,814.09 and 7,548.80

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Solution

The fourth proportional to 9,891.72, 14,814.09 and 7,548.80 is: 11,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.72 : 14,814.09 = 7,548.80 : x
  2. Step 2: Convert to fraction form
    9,891.72/14,814.09 = 7,548.80/x
  3. Step 3: Cross multiply
    9,891.72x = 14,814.09 × 7,548.80
  4. Step 4: Simplify right side
    9,891.72x = 111,828,528.52
  5. Step 5: Solve for x
    x = 111,828,528.52/9,891.72
  6. Step 6: Final answer
    x = 11,305.27

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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.