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Finding the Fourth Proportional to 10,168.68, 15,276.36 and 7,214.41

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Solution

The fourth proportional to 10,168.68, 15,276.36 and 7,214.41 is: 10,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.68 : 15,276.36 = 7,214.41 : x
  2. Step 2: Convert to fraction form
    10,168.68/15,276.36 = 7,214.41/x
  3. Step 3: Cross multiply
    10,168.68x = 15,276.36 × 7,214.41
  4. Step 4: Simplify right side
    10,168.68x = 110,209,970.50
  5. Step 5: Solve for x
    x = 110,209,970.50/10,168.68
  6. Step 6: Final answer
    x = 10,838.17

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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.