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Finding the Fourth Proportional to 30,580.40, 45,859.80 and 10,859.60

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Solution

The fourth proportional to 30,580.40, 45,859.80 and 10,859.60 is: 16,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.40 : 45,859.80 = 10,859.60 : x
  2. Step 2: Convert to fraction form
    30,580.40/45,859.80 = 10,859.60/x
  3. Step 3: Cross multiply
    30,580.40x = 45,859.80 × 10,859.60
  4. Step 4: Simplify right side
    30,580.40x = 498,019,084.08
  5. Step 5: Solve for x
    x = 498,019,084.08/30,580.40
  6. Step 6: Final answer
    x = 16,285.56

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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.