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Finding the Fourth Proportional to 10,836, 14,954.04 and 6,643.44

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Solution

The fourth proportional to 10,836, 14,954.04 and 6,643.44 is: 9,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836 : 14,954.04 = 6,643.44 : x
  2. Step 2: Convert to fraction form
    10,836/14,954.04 = 6,643.44/x
  3. Step 3: Cross multiply
    10,836x = 14,954.04 × 6,643.44
  4. Step 4: Simplify right side
    10,836x = 99,346,267.50
  5. Step 5: Solve for x
    x = 99,346,267.50/10,836
  6. Step 6: Final answer
    x = 9,168.17

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Why These Related Problems?

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