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Finding the Fourth Proportional to 19,405.96, 29,109.12 and 7,722.16

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Solution

The fourth proportional to 19,405.96, 29,109.12 and 7,722.16 is: 11,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.96 : 29,109.12 = 7,722.16 : x
  2. Step 2: Convert to fraction form
    19,405.96/29,109.12 = 7,722.16/x
  3. Step 3: Cross multiply
    19,405.96x = 29,109.12 × 7,722.16
  4. Step 4: Simplify right side
    19,405.96x = 224,785,282.10
  5. Step 5: Solve for x
    x = 224,785,282.10/19,405.96
  6. Step 6: Final answer
    x = 11,583.31

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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.