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Finding the Fourth Proportional to 2,140.36, 2,953.71 and 1,512

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Solution

The fourth proportional to 2,140.36, 2,953.71 and 1,512 is: 2,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.36 : 2,953.71 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,140.36/2,953.71 = 1,512/x
  3. Step 3: Cross multiply
    2,140.36x = 2,953.71 × 1,512
  4. Step 4: Simplify right side
    2,140.36x = 4,466,009.52
  5. Step 5: Solve for x
    x = 4,466,009.52/2,140.36
  6. Step 6: Final answer
    x = 2,086.57

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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.