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Finding the Fourth Proportional to 9,102.63, 13,653.81 and 2,946.63

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Solution

The fourth proportional to 9,102.63, 13,653.81 and 2,946.63 is: 4,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.63 : 13,653.81 = 2,946.63 : x
  2. Step 2: Convert to fraction form
    9,102.63/13,653.81 = 2,946.63/x
  3. Step 3: Cross multiply
    9,102.63x = 13,653.81 × 2,946.63
  4. Step 4: Simplify right side
    9,102.63x = 40,232,726.16
  5. Step 5: Solve for x
    x = 40,232,726.16/9,102.63
  6. Step 6: Final answer
    x = 4,419.90

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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.