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Finding the Fourth Proportional to 30,355.74, 41,895.03 and 17,785.50

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Solution

The fourth proportional to 30,355.74, 41,895.03 and 17,785.50 is: 24,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,355.74 : 41,895.03 = 17,785.50 : x
  2. Step 2: Convert to fraction form
    30,355.74/41,895.03 = 17,785.50/x
  3. Step 3: Cross multiply
    30,355.74x = 41,895.03 × 17,785.50
  4. Step 4: Simplify right side
    30,355.74x = 745,124,056.07
  5. Step 5: Solve for x
    x = 745,124,056.07/30,355.74
  6. Step 6: Final answer
    x = 24,546.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.