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Finding the Fourth Proportional to 7,509.56, 10,366.10 and 6,722.24

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Solution

The fourth proportional to 7,509.56, 10,366.10 and 6,722.24 is: 9,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.56 : 10,366.10 = 6,722.24 : x
  2. Step 2: Convert to fraction form
    7,509.56/10,366.10 = 6,722.24/x
  3. Step 3: Cross multiply
    7,509.56x = 10,366.10 × 6,722.24
  4. Step 4: Simplify right side
    7,509.56x = 69,683,412.06
  5. Step 5: Solve for x
    x = 69,683,412.06/7,509.56
  6. Step 6: Final answer
    x = 9,279.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.