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Finding the Fourth Proportional to 19,706.88, 29,575.36 and 7,238.72

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Solution

The fourth proportional to 19,706.88, 29,575.36 and 7,238.72 is: 10,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.88 : 29,575.36 = 7,238.72 : x
  2. Step 2: Convert to fraction form
    19,706.88/29,575.36 = 7,238.72/x
  3. Step 3: Cross multiply
    19,706.88x = 29,575.36 × 7,238.72
  4. Step 4: Simplify right side
    19,706.88x = 214,087,749.94
  5. Step 5: Solve for x
    x = 214,087,749.94/19,706.88
  6. Step 6: Final answer
    x = 10,863.60

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1.5x scale

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.