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Finding the Fourth Proportional to 3,735, 5,602.50 and 1,683

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Solution

The fourth proportional to 3,735, 5,602.50 and 1,683 is: 2,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 5,602.50 = 1,683 : x
  2. Step 2: Convert to fraction form
    3,735/5,602.50 = 1,683/x
  3. Step 3: Cross multiply
    3,735x = 5,602.50 × 1,683
  4. Step 4: Simplify right side
    3,735x = 9,429,007.50
  5. Step 5: Solve for x
    x = 9,429,007.50/3,735
  6. Step 6: Final answer
    x = 2,524.50

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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.