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Finding the Fourth Proportional to 30,391.68, 41,926.14 and 19,777.44

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Solution

The fourth proportional to 30,391.68, 41,926.14 and 19,777.44 is: 27,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.68 : 41,926.14 = 19,777.44 : x
  2. Step 2: Convert to fraction form
    30,391.68/41,926.14 = 19,777.44/x
  3. Step 3: Cross multiply
    30,391.68x = 41,926.14 × 19,777.44
  4. Step 4: Simplify right side
    30,391.68x = 829,191,718.28
  5. Step 5: Solve for x
    x = 829,191,718.28/30,391.68
  6. Step 6: Final answer
    x = 27,283.51

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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.