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Finding the Fourth Proportional to 2,876.88, 4,307.04 and 1,642.08

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Solution

The fourth proportional to 2,876.88, 4,307.04 and 1,642.08 is: 2,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.88 : 4,307.04 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    2,876.88/4,307.04 = 1,642.08/x
  3. Step 3: Cross multiply
    2,876.88x = 4,307.04 × 1,642.08
  4. Step 4: Simplify right side
    2,876.88x = 7,072,504.24
  5. Step 5: Solve for x
    x = 7,072,504.24/2,876.88
  6. Step 6: Final answer
    x = 2,458.39

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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.