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Finding the Fourth Proportional to 14,643.76, 21,968.40 and 5,879.36

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Solution

The fourth proportional to 14,643.76, 21,968.40 and 5,879.36 is: 8,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.76 : 21,968.40 = 5,879.36 : x
  2. Step 2: Convert to fraction form
    14,643.76/21,968.40 = 5,879.36/x
  3. Step 3: Cross multiply
    14,643.76x = 21,968.40 × 5,879.36
  4. Step 4: Simplify right side
    14,643.76x = 129,160,132.22
  5. Step 5: Solve for x
    x = 129,160,132.22/14,643.76
  6. Step 6: Final answer
    x = 8,820.15

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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.