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Finding the Fourth Proportional to 6,378.30, 9,574.65 and 4,923.90

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Solution

The fourth proportional to 6,378.30, 9,574.65 and 4,923.90 is: 7,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.30 : 9,574.65 = 4,923.90 : x
  2. Step 2: Convert to fraction form
    6,378.30/9,574.65 = 4,923.90/x
  3. Step 3: Cross multiply
    6,378.30x = 9,574.65 × 4,923.90
  4. Step 4: Simplify right side
    6,378.30x = 47,144,619.14
  5. Step 5: Solve for x
    x = 47,144,619.14/6,378.30
  6. Step 6: Final answer
    x = 7,391.41

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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.