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Finding the Fourth Proportional to 34,750.56, 47,955 and 19,641.21

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Solution

The fourth proportional to 34,750.56, 47,955 and 19,641.21 is: 27,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750.56 : 47,955 = 19,641.21 : x
  2. Step 2: Convert to fraction form
    34,750.56/47,955 = 19,641.21/x
  3. Step 3: Cross multiply
    34,750.56x = 47,955 × 19,641.21
  4. Step 4: Simplify right side
    34,750.56x = 941,894,225.55
  5. Step 5: Solve for x
    x = 941,894,225.55/34,750.56
  6. Step 6: Final answer
    x = 27,104.43

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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.