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Finding the Fourth Proportional to 25,083, 34,615.62 and 13,905

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Solution

The fourth proportional to 25,083, 34,615.62 and 13,905 is: 19,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 34,615.62 = 13,905 : x
  2. Step 2: Convert to fraction form
    25,083/34,615.62 = 13,905/x
  3. Step 3: Cross multiply
    25,083x = 34,615.62 × 13,905
  4. Step 4: Simplify right side
    25,083x = 481,330,196.10
  5. Step 5: Solve for x
    x = 481,330,196.10/25,083
  6. Step 6: Final answer
    x = 19,189.50

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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.