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Finding the Fourth Proportional to 30,335.96, 45,503.94 and 11,855

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Solution

The fourth proportional to 30,335.96, 45,503.94 and 11,855 is: 17,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335.96 : 45,503.94 = 11,855 : x
  2. Step 2: Convert to fraction form
    30,335.96/45,503.94 = 11,855/x
  3. Step 3: Cross multiply
    30,335.96x = 45,503.94 × 11,855
  4. Step 4: Simplify right side
    30,335.96x = 539,449,208.70
  5. Step 5: Solve for x
    x = 539,449,208.70/30,335.96
  6. Step 6: Final answer
    x = 17,782.50

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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.