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Finding the Fourth Proportional to 25,201.94, 37,698.95 and 20,709

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Solution

The fourth proportional to 25,201.94, 37,698.95 and 20,709 is: 30,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.94 : 37,698.95 = 20,709 : x
  2. Step 2: Convert to fraction form
    25,201.94/37,698.95 = 20,709/x
  3. Step 3: Cross multiply
    25,201.94x = 37,698.95 × 20,709
  4. Step 4: Simplify right side
    25,201.94x = 780,707,607.32
  5. Step 5: Solve for x
    x = 780,707,607.32/25,201.94
  6. Step 6: Final answer
    x = 30,978.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.