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Finding the Fourth Proportional to 2,153, 2,971.14 and 1,325

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Solution

The fourth proportional to 2,153, 2,971.14 and 1,325 is: 1,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153 : 2,971.14 = 1,325 : x
  2. Step 2: Convert to fraction form
    2,153/2,971.14 = 1,325/x
  3. Step 3: Cross multiply
    2,153x = 2,971.14 × 1,325
  4. Step 4: Simplify right side
    2,153x = 3,936,760.50
  5. Step 5: Solve for x
    x = 3,936,760.50/2,153
  6. Step 6: Final answer
    x = 1,828.50

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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.