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Finding the Fourth Proportional to 11,753.69, 16,219.98 and 6,448.50

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Solution

The fourth proportional to 11,753.69, 16,219.98 and 6,448.50 is: 8,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.69 : 16,219.98 = 6,448.50 : x
  2. Step 2: Convert to fraction form
    11,753.69/16,219.98 = 6,448.50/x
  3. Step 3: Cross multiply
    11,753.69x = 16,219.98 × 6,448.50
  4. Step 4: Simplify right side
    11,753.69x = 104,594,541.03
  5. Step 5: Solve for x
    x = 104,594,541.03/11,753.69
  6. Step 6: Final answer
    x = 8,898.87

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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.