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Finding the Fourth Proportional to 9,738, 13,438.42 and 5,261.74

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Solution

The fourth proportional to 9,738, 13,438.42 and 5,261.74 is: 7,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 13,438.42 = 5,261.74 : x
  2. Step 2: Convert to fraction form
    9,738/13,438.42 = 5,261.74/x
  3. Step 3: Cross multiply
    9,738x = 13,438.42 × 5,261.74
  4. Step 4: Simplify right side
    9,738x = 70,709,472.05
  5. Step 5: Solve for x
    x = 70,709,472.05/9,738
  6. Step 6: Final answer
    x = 7,261.19

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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.