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Finding the Fourth Proportional to 25,782.16, 38,643.72 and 11,902

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Solution

The fourth proportional to 25,782.16, 38,643.72 and 11,902 is: 17,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.16 : 38,643.72 = 11,902 : x
  2. Step 2: Convert to fraction form
    25,782.16/38,643.72 = 11,902/x
  3. Step 3: Cross multiply
    25,782.16x = 38,643.72 × 11,902
  4. Step 4: Simplify right side
    25,782.16x = 459,937,555.44
  5. Step 5: Solve for x
    x = 459,937,555.44/25,782.16
  6. Step 6: Final answer
    x = 17,839.37

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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.