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Finding the Fourth Proportional to 21,706.98, 29,919.54 and 19,824.94

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Solution

The fourth proportional to 21,706.98, 29,919.54 and 19,824.94 is: 27,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.98 : 29,919.54 = 19,824.94 : x
  2. Step 2: Convert to fraction form
    21,706.98/29,919.54 = 19,824.94/x
  3. Step 3: Cross multiply
    21,706.98x = 29,919.54 × 19,824.94
  4. Step 4: Simplify right side
    21,706.98x = 593,153,085.33
  5. Step 5: Solve for x
    x = 593,153,085.33/21,706.98
  6. Step 6: Final answer
    x = 27,325.45

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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.