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Finding the Fourth Proportional to 11,453.04, 17,179.92 and 4,878

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Solution

The fourth proportional to 11,453.04, 17,179.92 and 4,878 is: 7,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.04 : 17,179.92 = 4,878 : x
  2. Step 2: Convert to fraction form
    11,453.04/17,179.92 = 4,878/x
  3. Step 3: Cross multiply
    11,453.04x = 17,179.92 × 4,878
  4. Step 4: Simplify right side
    11,453.04x = 83,803,649.76
  5. Step 5: Solve for x
    x = 83,803,649.76/11,453.04
  6. Step 6: Final answer
    x = 7,317.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.