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Finding the Fourth Proportional to 19,774.60, 29,661.94 and 7,289.20

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Solution

The fourth proportional to 19,774.60, 29,661.94 and 7,289.20 is: 10,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.60 : 29,661.94 = 7,289.20 : x
  2. Step 2: Convert to fraction form
    19,774.60/29,661.94 = 7,289.20/x
  3. Step 3: Cross multiply
    19,774.60x = 29,661.94 × 7,289.20
  4. Step 4: Simplify right side
    19,774.60x = 216,211,813.05
  5. Step 5: Solve for x
    x = 216,211,813.05/19,774.60
  6. Step 6: Final answer
    x = 10,933.81

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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.