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Finding the Fourth Proportional to 8,670.90, 13,006.98 and 2,827.26

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Solution

The fourth proportional to 8,670.90, 13,006.98 and 2,827.26 is: 4,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.90 : 13,006.98 = 2,827.26 : x
  2. Step 2: Convert to fraction form
    8,670.90/13,006.98 = 2,827.26/x
  3. Step 3: Cross multiply
    8,670.90x = 13,006.98 × 2,827.26
  4. Step 4: Simplify right side
    8,670.90x = 36,774,114.27
  5. Step 5: Solve for x
    x = 36,774,114.27/8,670.90
  6. Step 6: Final answer
    x = 4,241.10

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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.