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Finding the Fourth Proportional to 30,415.80, 45,623.70 and 21,084.60

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Solution

The fourth proportional to 30,415.80, 45,623.70 and 21,084.60 is: 31,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.80 : 45,623.70 = 21,084.60 : x
  2. Step 2: Convert to fraction form
    30,415.80/45,623.70 = 21,084.60/x
  3. Step 3: Cross multiply
    30,415.80x = 45,623.70 × 21,084.60
  4. Step 4: Simplify right side
    30,415.80x = 961,957,465.02
  5. Step 5: Solve for x
    x = 961,957,465.02/30,415.80
  6. Step 6: Final answer
    x = 31,626.90

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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.