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Finding the Fourth Proportional to 5,581, 8,371.66 and 1,477

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Solution

The fourth proportional to 5,581, 8,371.66 and 1,477 is: 2,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581 : 8,371.66 = 1,477 : x
  2. Step 2: Convert to fraction form
    5,581/8,371.66 = 1,477/x
  3. Step 3: Cross multiply
    5,581x = 8,371.66 × 1,477
  4. Step 4: Simplify right side
    5,581x = 12,364,941.82
  5. Step 5: Solve for x
    x = 12,364,941.82/5,581
  6. Step 6: Final answer
    x = 2,215.54

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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.