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Finding the Fourth Proportional to 8,553.84, 12,832.62 and 2,710.50

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Solution

The fourth proportional to 8,553.84, 12,832.62 and 2,710.50 is: 4,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.84 : 12,832.62 = 2,710.50 : x
  2. Step 2: Convert to fraction form
    8,553.84/12,832.62 = 2,710.50/x
  3. Step 3: Cross multiply
    8,553.84x = 12,832.62 × 2,710.50
  4. Step 4: Simplify right side
    8,553.84x = 34,782,816.51
  5. Step 5: Solve for x
    x = 34,782,816.51/8,553.84
  6. Step 6: Final answer
    x = 4,066.34

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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.