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Finding the Fourth Proportional to 30,013.28, 45,015.84 and 7,828.16

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Solution

The fourth proportional to 30,013.28, 45,015.84 and 7,828.16 is: 11,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.28 : 45,015.84 = 7,828.16 : x
  2. Step 2: Convert to fraction form
    30,013.28/45,015.84 = 7,828.16/x
  3. Step 3: Cross multiply
    30,013.28x = 45,015.84 × 7,828.16
  4. Step 4: Simplify right side
    30,013.28x = 352,391,198.05
  5. Step 5: Solve for x
    x = 352,391,198.05/30,013.28
  6. Step 6: Final answer
    x = 11,741.18

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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.