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Finding the Fourth Proportional to 30,043.59, 45,065.54 and 7,857.02

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Solution

The fourth proportional to 30,043.59, 45,065.54 and 7,857.02 is: 11,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.59 : 45,065.54 = 7,857.02 : x
  2. Step 2: Convert to fraction form
    30,043.59/45,065.54 = 7,857.02/x
  3. Step 3: Cross multiply
    30,043.59x = 45,065.54 × 7,857.02
  4. Step 4: Simplify right side
    30,043.59x = 354,080,584.48
  5. Step 5: Solve for x
    x = 354,080,584.48/30,043.59
  6. Step 6: Final answer
    x = 11,785.56

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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.