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Finding the Fourth Proportional to 5,685, 8,527.50 and 1,581

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Solution

The fourth proportional to 5,685, 8,527.50 and 1,581 is: 2,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685 : 8,527.50 = 1,581 : x
  2. Step 2: Convert to fraction form
    5,685/8,527.50 = 1,581/x
  3. Step 3: Cross multiply
    5,685x = 8,527.50 × 1,581
  4. Step 4: Simplify right side
    5,685x = 13,481,977.50
  5. Step 5: Solve for x
    x = 13,481,977.50/5,685
  6. Step 6: Final answer
    x = 2,371.50

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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.