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Finding the Fourth Proportional to 14,800.48, 22,200.10 and 8,222.47

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Solution

The fourth proportional to 14,800.48, 22,200.10 and 8,222.47 is: 12,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.48 : 22,200.10 = 8,222.47 : x
  2. Step 2: Convert to fraction form
    14,800.48/22,200.10 = 8,222.47/x
  3. Step 3: Cross multiply
    14,800.48x = 22,200.10 × 8,222.47
  4. Step 4: Simplify right side
    14,800.48x = 182,539,580.19
  5. Step 5: Solve for x
    x = 182,539,580.19/14,800.48
  6. Step 6: Final answer
    x = 12,333.36

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1.5x scale

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.