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Finding the Fourth Proportional to 15,706.58, 21,680.14 and 10,056.54

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Solution

The fourth proportional to 15,706.58, 21,680.14 and 10,056.54 is: 13,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.58 : 21,680.14 = 10,056.54 : x
  2. Step 2: Convert to fraction form
    15,706.58/21,680.14 = 10,056.54/x
  3. Step 3: Cross multiply
    15,706.58x = 21,680.14 × 10,056.54
  4. Step 4: Simplify right side
    15,706.58x = 218,027,195.12
  5. Step 5: Solve for x
    x = 218,027,195.12/15,706.58
  6. Step 6: Final answer
    x = 13,881.26

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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.