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Finding the Fourth Proportional to 12,465.76, 17,202.78 and 7,750.02

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Solution

The fourth proportional to 12,465.76, 17,202.78 and 7,750.02 is: 10,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.76 : 17,202.78 = 7,750.02 : x
  2. Step 2: Convert to fraction form
    12,465.76/17,202.78 = 7,750.02/x
  3. Step 3: Cross multiply
    12,465.76x = 17,202.78 × 7,750.02
  4. Step 4: Simplify right side
    12,465.76x = 133,321,889.06
  5. Step 5: Solve for x
    x = 133,321,889.06/12,465.76
  6. Step 6: Final answer
    x = 10,695.05

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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.