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Finding the Fourth Proportional to 43,978.80, 65,968.20 and 10,698.60

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Solution

The fourth proportional to 43,978.80, 65,968.20 and 10,698.60 is: 16,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,978.80 : 65,968.20 = 10,698.60 : x
  2. Step 2: Convert to fraction form
    43,978.80/65,968.20 = 10,698.60/x
  3. Step 3: Cross multiply
    43,978.80x = 65,968.20 × 10,698.60
  4. Step 4: Simplify right side
    43,978.80x = 705,767,384.52
  5. Step 5: Solve for x
    x = 705,767,384.52/43,978.80
  6. Step 6: Final answer
    x = 16,047.90

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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.