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Finding the Fourth Proportional to 9,904.09, 13,665.91 and 5,653.21

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Solution

The fourth proportional to 9,904.09, 13,665.91 and 5,653.21 is: 7,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.09 : 13,665.91 = 5,653.21 : x
  2. Step 2: Convert to fraction form
    9,904.09/13,665.91 = 5,653.21/x
  3. Step 3: Cross multiply
    9,904.09x = 13,665.91 × 5,653.21
  4. Step 4: Simplify right side
    9,904.09x = 77,256,162.48
  5. Step 5: Solve for x
    x = 77,256,162.48/9,904.09
  6. Step 6: Final answer
    x = 7,800.43

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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.