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Finding the Fourth Proportional to 14,048.40, 19,390.20 and 8,083.20

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Solution

The fourth proportional to 14,048.40, 19,390.20 and 8,083.20 is: 11,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.40 : 19,390.20 = 8,083.20 : x
  2. Step 2: Convert to fraction form
    14,048.40/19,390.20 = 8,083.20/x
  3. Step 3: Cross multiply
    14,048.40x = 19,390.20 × 8,083.20
  4. Step 4: Simplify right side
    14,048.40x = 156,734,864.64
  5. Step 5: Solve for x
    x = 156,734,864.64/14,048.40
  6. Step 6: Final answer
    x = 11,156.78

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1.5x scale

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.