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Finding the Fourth Proportional to 5,709, 8,563.50 and 1,605

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Solution

The fourth proportional to 5,709, 8,563.50 and 1,605 is: 2,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709 : 8,563.50 = 1,605 : x
  2. Step 2: Convert to fraction form
    5,709/8,563.50 = 1,605/x
  3. Step 3: Cross multiply
    5,709x = 8,563.50 × 1,605
  4. Step 4: Simplify right side
    5,709x = 13,744,417.50
  5. Step 5: Solve for x
    x = 13,744,417.50/5,709
  6. Step 6: Final answer
    x = 2,407.50

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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.