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Finding the Fourth Proportional to 8,509.17, 11,748.20 and 7,921.11

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Solution

The fourth proportional to 8,509.17, 11,748.20 and 7,921.11 is: 10,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.17 : 11,748.20 = 7,921.11 : x
  2. Step 2: Convert to fraction form
    8,509.17/11,748.20 = 7,921.11/x
  3. Step 3: Cross multiply
    8,509.17x = 11,748.20 × 7,921.11
  4. Step 4: Simplify right side
    8,509.17x = 93,058,744.90
  5. Step 5: Solve for x
    x = 93,058,744.90/8,509.17
  6. Step 6: Final answer
    x = 10,936.29

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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.