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Finding the Fourth Proportional to 10,809.63, 16,209.05 and 4,961.25

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Solution

The fourth proportional to 10,809.63, 16,209.05 and 4,961.25 is: 7,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.63 : 16,209.05 = 4,961.25 : x
  2. Step 2: Convert to fraction form
    10,809.63/16,209.05 = 4,961.25/x
  3. Step 3: Cross multiply
    10,809.63x = 16,209.05 × 4,961.25
  4. Step 4: Simplify right side
    10,809.63x = 80,417,124.51
  5. Step 5: Solve for x
    x = 80,417,124.51/10,809.63
  6. Step 6: Final answer
    x = 7,439.40

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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.