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Finding the Fourth Proportional to 14,651.72, 21,978.19 and 4,263.48

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Solution

The fourth proportional to 14,651.72, 21,978.19 and 4,263.48 is: 6,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.72 : 21,978.19 = 4,263.48 : x
  2. Step 2: Convert to fraction form
    14,651.72/21,978.19 = 4,263.48/x
  3. Step 3: Cross multiply
    14,651.72x = 21,978.19 × 4,263.48
  4. Step 4: Simplify right side
    14,651.72x = 93,703,573.50
  5. Step 5: Solve for x
    x = 93,703,573.50/14,651.72
  6. Step 6: Final answer
    x = 6,395.40

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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.