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Finding the Fourth Proportional to 34,242, 47,257.80 and 19,338.96

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Solution

The fourth proportional to 34,242, 47,257.80 and 19,338.96 is: 26,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 47,257.80 = 19,338.96 : x
  2. Step 2: Convert to fraction form
    34,242/47,257.80 = 19,338.96/x
  3. Step 3: Cross multiply
    34,242x = 47,257.80 × 19,338.96
  4. Step 4: Simplify right side
    34,242x = 913,916,703.89
  5. Step 5: Solve for x
    x = 913,916,703.89/34,242
  6. Step 6: Final answer
    x = 26,689.93

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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.