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Finding the Fourth Proportional to 7,102.60, 10,654.01 and 2,941.60

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Solution

The fourth proportional to 7,102.60, 10,654.01 and 2,941.60 is: 4,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.60 : 10,654.01 = 2,941.60 : x
  2. Step 2: Convert to fraction form
    7,102.60/10,654.01 = 2,941.60/x
  3. Step 3: Cross multiply
    7,102.60x = 10,654.01 × 2,941.60
  4. Step 4: Simplify right side
    7,102.60x = 31,339,835.82
  5. Step 5: Solve for x
    x = 31,339,835.82/7,102.60
  6. Step 6: Final answer
    x = 4,412.45

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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.