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Finding the Fourth Proportional to 11,297.65, 15,592.04 and 6,821.40

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Solution

The fourth proportional to 11,297.65, 15,592.04 and 6,821.40 is: 9,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.65 : 15,592.04 = 6,821.40 : x
  2. Step 2: Convert to fraction form
    11,297.65/15,592.04 = 6,821.40/x
  3. Step 3: Cross multiply
    11,297.65x = 15,592.04 × 6,821.40
  4. Step 4: Simplify right side
    11,297.65x = 106,359,500.24
  5. Step 5: Solve for x
    x = 106,359,500.24/11,297.65
  6. Step 6: Final answer
    x = 9,414.31

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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.