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Finding the Fourth Proportional to 7,101.04, 10,650 and 2,102.16

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Solution

The fourth proportional to 7,101.04, 10,650 and 2,102.16 is: 3,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.04 : 10,650 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    7,101.04/10,650 = 2,102.16/x
  3. Step 3: Cross multiply
    7,101.04x = 10,650 × 2,102.16
  4. Step 4: Simplify right side
    7,101.04x = 22,388,004
  5. Step 5: Solve for x
    x = 22,388,004/7,101.04
  6. Step 6: Final answer
    x = 3,152.78

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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.