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Finding the Fourth Proportional to 28,601.60, 42,844.80 and 19,846.40

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Solution

The fourth proportional to 28,601.60, 42,844.80 and 19,846.40 is: 29,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,601.60 : 42,844.80 = 19,846.40 : x
  2. Step 2: Convert to fraction form
    28,601.60/42,844.80 = 19,846.40/x
  3. Step 3: Cross multiply
    28,601.60x = 42,844.80 × 19,846.40
  4. Step 4: Simplify right side
    28,601.60x = 850,315,038.72
  5. Step 5: Solve for x
    x = 850,315,038.72/28,601.60
  6. Step 6: Final answer
    x = 29,729.63

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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.