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Finding the Fourth Proportional to 2,158.32, 2,974.32 and 1,567.92

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Solution

The fourth proportional to 2,158.32, 2,974.32 and 1,567.92 is: 2,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.32 : 2,974.32 = 1,567.92 : x
  2. Step 2: Convert to fraction form
    2,158.32/2,974.32 = 1,567.92/x
  3. Step 3: Cross multiply
    2,158.32x = 2,974.32 × 1,567.92
  4. Step 4: Simplify right side
    2,158.32x = 4,663,495.81
  5. Step 5: Solve for x
    x = 4,663,495.81/2,158.32
  6. Step 6: Final answer
    x = 2,160.71

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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.