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Finding the Fourth Proportional to 14,080.50, 19,440 and 8,783.10

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Solution

The fourth proportional to 14,080.50, 19,440 and 8,783.10 is: 12,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.50 : 19,440 = 8,783.10 : x
  2. Step 2: Convert to fraction form
    14,080.50/19,440 = 8,783.10/x
  3. Step 3: Cross multiply
    14,080.50x = 19,440 × 8,783.10
  4. Step 4: Simplify right side
    14,080.50x = 170,743,464
  5. Step 5: Solve for x
    x = 170,743,464/14,080.50
  6. Step 6: Final answer
    x = 12,126.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.