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Finding the Fourth Proportional to 12,465.21, 17,201.02 and 7,159

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Solution

The fourth proportional to 12,465.21, 17,201.02 and 7,159 is: 9,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.21 : 17,201.02 = 7,159 : x
  2. Step 2: Convert to fraction form
    12,465.21/17,201.02 = 7,159/x
  3. Step 3: Cross multiply
    12,465.21x = 17,201.02 × 7,159
  4. Step 4: Simplify right side
    12,465.21x = 123,142,102.18
  5. Step 5: Solve for x
    x = 123,142,102.18/12,465.21
  6. Step 6: Final answer
    x = 9,878.86

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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.