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Finding the Fourth Proportional to 30,005.20, 45,003.84 and 7,820.20

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Solution

The fourth proportional to 30,005.20, 45,003.84 and 7,820.20 is: 11,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.20 : 45,003.84 = 7,820.20 : x
  2. Step 2: Convert to fraction form
    30,005.20/45,003.84 = 7,820.20/x
  3. Step 3: Cross multiply
    30,005.20x = 45,003.84 × 7,820.20
  4. Step 4: Simplify right side
    30,005.20x = 351,939,029.57
  5. Step 5: Solve for x
    x = 351,939,029.57/30,005.20
  6. Step 6: Final answer
    x = 11,729.27

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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.