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Finding the Fourth Proportional to 10,491, 15,733.62 and 3,919.80

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Solution

The fourth proportional to 10,491, 15,733.62 and 3,919.80 is: 5,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491 : 15,733.62 = 3,919.80 : x
  2. Step 2: Convert to fraction form
    10,491/15,733.62 = 3,919.80/x
  3. Step 3: Cross multiply
    10,491x = 15,733.62 × 3,919.80
  4. Step 4: Simplify right side
    10,491x = 61,672,643.68
  5. Step 5: Solve for x
    x = 61,672,643.68/10,491
  6. Step 6: Final answer
    x = 5,878.62

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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.