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Finding the Fourth Proportional to 7,477.70, 10,313.33 and 6,974.69

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Solution

The fourth proportional to 7,477.70, 10,313.33 and 6,974.69 is: 9,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.70 : 10,313.33 = 6,974.69 : x
  2. Step 2: Convert to fraction form
    7,477.70/10,313.33 = 6,974.69/x
  3. Step 3: Cross multiply
    7,477.70x = 10,313.33 × 6,974.69
  4. Step 4: Simplify right side
    7,477.70x = 71,932,193.18
  5. Step 5: Solve for x
    x = 71,932,193.18/7,477.70
  6. Step 6: Final answer
    x = 9,619.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.