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Finding the Fourth Proportional to 6,445, 9,667.50 and 1,581

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Solution

The fourth proportional to 6,445, 9,667.50 and 1,581 is: 2,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 9,667.50 = 1,581 : x
  2. Step 2: Convert to fraction form
    6,445/9,667.50 = 1,581/x
  3. Step 3: Cross multiply
    6,445x = 9,667.50 × 1,581
  4. Step 4: Simplify right side
    6,445x = 15,284,317.50
  5. Step 5: Solve for x
    x = 15,284,317.50/6,445
  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.