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Finding the Fourth Proportional to 30,287.88, 45,431.42 and 7,798.43

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Solution

The fourth proportional to 30,287.88, 45,431.42 and 7,798.43 is: 11,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.88 : 45,431.42 = 7,798.43 : x
  2. Step 2: Convert to fraction form
    30,287.88/45,431.42 = 7,798.43/x
  3. Step 3: Cross multiply
    30,287.88x = 45,431.42 × 7,798.43
  4. Step 4: Simplify right side
    30,287.88x = 354,293,823.26
  5. Step 5: Solve for x
    x = 354,293,823.26/30,287.88
  6. Step 6: Final answer
    x = 11,697.54

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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.