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Finding the Fourth Proportional to 2,107.52, 3,161.98 and 877.32

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Solution

The fourth proportional to 2,107.52, 3,161.98 and 877.32 is: 1,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.52 : 3,161.98 = 877.32 : x
  2. Step 2: Convert to fraction form
    2,107.52/3,161.98 = 877.32/x
  3. Step 3: Cross multiply
    2,107.52x = 3,161.98 × 877.32
  4. Step 4: Simplify right side
    2,107.52x = 2,774,068.29
  5. Step 5: Solve for x
    x = 2,774,068.29/2,107.52
  6. Step 6: Final answer
    x = 1,316.27

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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.