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Finding the Fourth Proportional to 1,672.36, 2,307.36 and 1,083.58

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Solution

The fourth proportional to 1,672.36, 2,307.36 and 1,083.58 is: 1,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.36 : 2,307.36 = 1,083.58 : x
  2. Step 2: Convert to fraction form
    1,672.36/2,307.36 = 1,083.58/x
  3. Step 3: Cross multiply
    1,672.36x = 2,307.36 × 1,083.58
  4. Step 4: Simplify right side
    1,672.36x = 2,500,209.15
  5. Step 5: Solve for x
    x = 2,500,209.15/1,672.36
  6. Step 6: Final answer
    x = 1,495.02

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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.