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Finding the Fourth Proportional to 30,185.84, 41,648 and 18,866.84

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Solution

The fourth proportional to 30,185.84, 41,648 and 18,866.84 is: 26,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.84 : 41,648 = 18,866.84 : x
  2. Step 2: Convert to fraction form
    30,185.84/41,648 = 18,866.84/x
  3. Step 3: Cross multiply
    30,185.84x = 41,648 × 18,866.84
  4. Step 4: Simplify right side
    30,185.84x = 785,766,152.32
  5. Step 5: Solve for x
    x = 785,766,152.32/30,185.84
  6. Step 6: Final answer
    x = 26,030.95

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1.5x scale

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.