Home / 9,678.80-14,523-3,835.28

Finding the Fourth Proportional to 9,678.80, 14,523 and 3,835.28

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Solution

The fourth proportional to 9,678.80, 14,523 and 3,835.28 is: 5,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.80 : 14,523 = 3,835.28 : x
  2. Step 2: Convert to fraction form
    9,678.80/14,523 = 3,835.28/x
  3. Step 3: Cross multiply
    9,678.80x = 14,523 × 3,835.28
  4. Step 4: Simplify right side
    9,678.80x = 55,699,771.44
  5. Step 5: Solve for x
    x = 55,699,771.44/9,678.80
  6. Step 6: Final answer
    x = 5,754.82

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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.