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Finding the Fourth Proportional to 2,876.33, 4,307.56 and 1,640.00

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Solution

The fourth proportional to 2,876.33, 4,307.56 and 1,640.00 is: 2,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.33 : 4,307.56 = 1,640.00 : x
  2. Step 2: Convert to fraction form
    2,876.33/4,307.56 = 1,640.00/x
  3. Step 3: Cross multiply
    2,876.33x = 4,307.56 × 1,640.00
  4. Step 4: Simplify right side
    2,876.33x = 7,064,405.07
  5. Step 5: Solve for x
    x = 7,064,405.07/2,876.33
  6. Step 6: Final answer
    x = 2,456.05

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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.