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Finding the Fourth Proportional to 30,698.40, 45,982.80 and 27,415.20

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Solution

The fourth proportional to 30,698.40, 45,982.80 and 27,415.20 is: 41,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.40 : 45,982.80 = 27,415.20 : x
  2. Step 2: Convert to fraction form
    30,698.40/45,982.80 = 27,415.20/x
  3. Step 3: Cross multiply
    30,698.40x = 45,982.80 × 27,415.20
  4. Step 4: Simplify right side
    30,698.40x = 1,260,627,658.56
  5. Step 5: Solve for x
    x = 1,260,627,658.56/30,698.40
  6. Step 6: Final answer
    x = 41,064.93

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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.