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Finding the Fourth Proportional to 10,853.22, 14,978.21 and 6,137.54

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Solution

The fourth proportional to 10,853.22, 14,978.21 and 6,137.54 is: 8,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.22 : 14,978.21 = 6,137.54 : x
  2. Step 2: Convert to fraction form
    10,853.22/14,978.21 = 6,137.54/x
  3. Step 3: Cross multiply
    10,853.22x = 14,978.21 × 6,137.54
  4. Step 4: Simplify right side
    10,853.22x = 91,929,363.00
  5. Step 5: Solve for x
    x = 91,929,363.00/10,853.22
  6. Step 6: Final answer
    x = 8,470.24

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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.