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Finding the Fourth Proportional to 2,966.95, 4,094.31 and 1,640.63

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Solution

The fourth proportional to 2,966.95, 4,094.31 and 1,640.63 is: 2,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.95 : 4,094.31 = 1,640.63 : x
  2. Step 2: Convert to fraction form
    2,966.95/4,094.31 = 1,640.63/x
  3. Step 3: Cross multiply
    2,966.95x = 4,094.31 × 1,640.63
  4. Step 4: Simplify right side
    2,966.95x = 6,717,247.82
  5. Step 5: Solve for x
    x = 6,717,247.82/2,966.95
  6. Step 6: Final answer
    x = 2,264.02

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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.