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Finding the Fourth Proportional to 2,966.32, 4,093.16 and 1,640.05

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Solution

The fourth proportional to 2,966.32, 4,093.16 and 1,640.05 is: 2,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.32 : 4,093.16 = 1,640.05 : x
  2. Step 2: Convert to fraction form
    2,966.32/4,093.16 = 1,640.05/x
  3. Step 3: Cross multiply
    2,966.32x = 4,093.16 × 1,640.05
  4. Step 4: Simplify right side
    2,966.32x = 6,712,978.86
  5. Step 5: Solve for x
    x = 6,712,978.86/2,966.32
  6. Step 6: Final answer
    x = 2,263.07

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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.