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Finding the Fourth Proportional to 2,876.72, 3,969.24 and 1,830.32

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Solution

The fourth proportional to 2,876.72, 3,969.24 and 1,830.32 is: 2,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.72 : 3,969.24 = 1,830.32 : x
  2. Step 2: Convert to fraction form
    2,876.72/3,969.24 = 1,830.32/x
  3. Step 3: Cross multiply
    2,876.72x = 3,969.24 × 1,830.32
  4. Step 4: Simplify right side
    2,876.72x = 7,264,979.36
  5. Step 5: Solve for x
    x = 7,264,979.36/2,876.72
  6. Step 6: Final answer
    x = 2,525.44

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1.5x scale

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.