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Finding the Fourth Proportional to 10,809.71, 16,214.58 and 4,235.03

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Solution

The fourth proportional to 10,809.71, 16,214.58 and 4,235.03 is: 6,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.71 : 16,214.58 = 4,235.03 : x
  2. Step 2: Convert to fraction form
    10,809.71/16,214.58 = 4,235.03/x
  3. Step 3: Cross multiply
    10,809.71x = 16,214.58 × 4,235.03
  4. Step 4: Simplify right side
    10,809.71x = 68,669,151.66
  5. Step 5: Solve for x
    x = 68,669,151.66/10,809.71
  6. Step 6: Final answer
    x = 6,352.55

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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.