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Finding the Fourth Proportional to 7,155, 10,732.64 and 1,961.01

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Solution

The fourth proportional to 7,155, 10,732.64 and 1,961.01 is: 2,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155 : 10,732.64 = 1,961.01 : x
  2. Step 2: Convert to fraction form
    7,155/10,732.64 = 1,961.01/x
  3. Step 3: Cross multiply
    7,155x = 10,732.64 × 1,961.01
  4. Step 4: Simplify right side
    7,155x = 21,046,804.56
  5. Step 5: Solve for x
    x = 21,046,804.56/7,155
  6. Step 6: Final answer
    x = 2,941.55

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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.