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Finding the Fourth Proportional to 7,210.86, 10,816.37 and 2,530.98

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Solution

The fourth proportional to 7,210.86, 10,816.37 and 2,530.98 is: 3,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.86 : 10,816.37 = 2,530.98 : x
  2. Step 2: Convert to fraction form
    7,210.86/10,816.37 = 2,530.98/x
  3. Step 3: Cross multiply
    7,210.86x = 10,816.37 × 2,530.98
  4. Step 4: Simplify right side
    7,210.86x = 27,376,012.98
  5. Step 5: Solve for x
    x = 27,376,012.98/7,210.86
  6. Step 6: Final answer
    x = 3,796.50

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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.