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Finding the Fourth Proportional to 9,705.71, 13,391.74 and 6,174.11

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Solution

The fourth proportional to 9,705.71, 13,391.74 and 6,174.11 is: 8,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.71 : 13,391.74 = 6,174.11 : x
  2. Step 2: Convert to fraction form
    9,705.71/13,391.74 = 6,174.11/x
  3. Step 3: Cross multiply
    9,705.71x = 13,391.74 × 6,174.11
  4. Step 4: Simplify right side
    9,705.71x = 82,682,075.85
  5. Step 5: Solve for x
    x = 82,682,075.85/9,705.71
  6. Step 6: Final answer
    x = 8,518.91

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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.