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Finding the Fourth Proportional to 8,645.88, 12,968.64 and 2,802.48

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Solution

The fourth proportional to 8,645.88, 12,968.64 and 2,802.48 is: 4,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.88 : 12,968.64 = 2,802.48 : x
  2. Step 2: Convert to fraction form
    8,645.88/12,968.64 = 2,802.48/x
  3. Step 3: Cross multiply
    8,645.88x = 12,968.64 × 2,802.48
  4. Step 4: Simplify right side
    8,645.88x = 36,344,354.23
  5. Step 5: Solve for x
    x = 36,344,354.23/8,645.88
  6. Step 6: Final answer
    x = 4,203.66

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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.