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Finding the Fourth Proportional to 25,643.40, 38,415.90 and 19,771.08

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Solution

The fourth proportional to 25,643.40, 38,415.90 and 19,771.08 is: 29,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.40 : 38,415.90 = 19,771.08 : x
  2. Step 2: Convert to fraction form
    25,643.40/38,415.90 = 19,771.08/x
  3. Step 3: Cross multiply
    25,643.40x = 38,415.90 × 19,771.08
  4. Step 4: Simplify right side
    25,643.40x = 759,523,832.17
  5. Step 5: Solve for x
    x = 759,523,832.17/25,643.40
  6. Step 6: Final answer
    x = 29,618.69

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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.