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Finding the Fourth Proportional to 5,509, 8,263.50 and 1,405

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Solution

The fourth proportional to 5,509, 8,263.50 and 1,405 is: 2,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509 : 8,263.50 = 1,405 : x
  2. Step 2: Convert to fraction form
    5,509/8,263.50 = 1,405/x
  3. Step 3: Cross multiply
    5,509x = 8,263.50 × 1,405
  4. Step 4: Simplify right side
    5,509x = 11,610,217.50
  5. Step 5: Solve for x
    x = 11,610,217.50/5,509
  6. Step 6: Final answer
    x = 2,107.50

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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.