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Finding the Fourth Proportional to 9,102, 13,655.16 and 2,946

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Solution

The fourth proportional to 9,102, 13,655.16 and 2,946 is: 4,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102 : 13,655.16 = 2,946 : x
  2. Step 2: Convert to fraction form
    9,102/13,655.16 = 2,946/x
  3. Step 3: Cross multiply
    9,102x = 13,655.16 × 2,946
  4. Step 4: Simplify right side
    9,102x = 40,228,101.36
  5. Step 5: Solve for x
    x = 40,228,101.36/9,102
  6. Step 6: Final answer
    x = 4,419.70

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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.