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Finding the Fourth Proportional to 3,526, 5,289 and 1,217.50

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Solution

The fourth proportional to 3,526, 5,289 and 1,217.50 is: 1,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526 : 5,289 = 1,217.50 : x
  2. Step 2: Convert to fraction form
    3,526/5,289 = 1,217.50/x
  3. Step 3: Cross multiply
    3,526x = 5,289 × 1,217.50
  4. Step 4: Simplify right side
    3,526x = 6,439,357.50
  5. Step 5: Solve for x
    x = 6,439,357.50/3,526
  6. Step 6: Final answer
    x = 1,826.25

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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.