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Finding the Fourth Proportional to 27,000, 37,261.44 and 15,825.60

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Solution

The fourth proportional to 27,000, 37,261.44 and 15,825.60 is: 21,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 37,261.44 = 15,825.60 : x
  2. Step 2: Convert to fraction form
    27,000/37,261.44 = 15,825.60/x
  3. Step 3: Cross multiply
    27,000x = 37,261.44 × 15,825.60
  4. Step 4: Simplify right side
    27,000x = 589,684,644.86
  5. Step 5: Solve for x
    x = 589,684,644.86/27,000
  6. Step 6: Final answer
    x = 21,840.17

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1.5x scale

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.