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Finding the Fourth Proportional to 25,137, 34,689.50 and 13,807.56

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Solution

The fourth proportional to 25,137, 34,689.50 and 13,807.56 is: 19,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137 : 34,689.50 = 13,807.56 : x
  2. Step 2: Convert to fraction form
    25,137/34,689.50 = 13,807.56/x
  3. Step 3: Cross multiply
    25,137x = 34,689.50 × 13,807.56
  4. Step 4: Simplify right side
    25,137x = 478,977,352.62
  5. Step 5: Solve for x
    x = 478,977,352.62/25,137
  6. Step 6: Final answer
    x = 19,054.67

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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.