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Finding the Fourth Proportional to 12,706.56, 17,532 and 9,725.76

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Solution

The fourth proportional to 12,706.56, 17,532 and 9,725.76 is: 13,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 17,532 = 9,725.76 : x
  2. Step 2: Convert to fraction form
    12,706.56/17,532 = 9,725.76/x
  3. Step 3: Cross multiply
    12,706.56x = 17,532 × 9,725.76
  4. Step 4: Simplify right side
    12,706.56x = 170,512,024.32
  5. Step 5: Solve for x
    x = 170,512,024.32/12,706.56
  6. Step 6: Final answer
    x = 13,419.21

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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.