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Finding the Fourth Proportional to 2,157.66, 2,978.58 and 1,411.65

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Solution

The fourth proportional to 2,157.66, 2,978.58 and 1,411.65 is: 1,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.66 : 2,978.58 = 1,411.65 : x
  2. Step 2: Convert to fraction form
    2,157.66/2,978.58 = 1,411.65/x
  3. Step 3: Cross multiply
    2,157.66x = 2,978.58 × 1,411.65
  4. Step 4: Simplify right side
    2,157.66x = 4,204,712.46
  5. Step 5: Solve for x
    x = 4,204,712.46/2,157.66
  6. Step 6: Final answer
    x = 1,948.74

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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.