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Finding the Fourth Proportional to 11,202.70, 16,809.45 and 8,569.30

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Solution

The fourth proportional to 11,202.70, 16,809.45 and 8,569.30 is: 12,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.70 : 16,809.45 = 8,569.30 : x
  2. Step 2: Convert to fraction form
    11,202.70/16,809.45 = 8,569.30/x
  3. Step 3: Cross multiply
    11,202.70x = 16,809.45 × 8,569.30
  4. Step 4: Simplify right side
    11,202.70x = 144,045,219.89
  5. Step 5: Solve for x
    x = 144,045,219.89/11,202.70
  6. Step 6: Final answer
    x = 12,858.08

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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.