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Finding the Fourth Proportional to 8,509.32, 11,736.29 and 7,553.21

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Solution

The fourth proportional to 8,509.32, 11,736.29 and 7,553.21 is: 10,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.32 : 11,736.29 = 7,553.21 : x
  2. Step 2: Convert to fraction form
    8,509.32/11,736.29 = 7,553.21/x
  3. Step 3: Cross multiply
    8,509.32x = 11,736.29 × 7,553.21
  4. Step 4: Simplify right side
    8,509.32x = 88,646,623.19
  5. Step 5: Solve for x
    x = 88,646,623.19/8,509.32
  6. Step 6: Final answer
    x = 10,417.59

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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.