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Finding the Fourth Proportional to 2,957.62, 4,435.82 and 877.64

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Solution

The fourth proportional to 2,957.62, 4,435.82 and 877.64 is: 1,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.62 : 4,435.82 = 877.64 : x
  2. Step 2: Convert to fraction form
    2,957.62/4,435.82 = 877.64/x
  3. Step 3: Cross multiply
    2,957.62x = 4,435.82 × 877.64
  4. Step 4: Simplify right side
    2,957.62x = 3,893,053.06
  5. Step 5: Solve for x
    x = 3,893,053.06/2,957.62
  6. Step 6: Final answer
    x = 1,316.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.