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Finding the Fourth Proportional to 27,915, 38,522.72 and 15,339.84

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Solution

The fourth proportional to 27,915, 38,522.72 and 15,339.84 is: 21,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915 : 38,522.72 = 15,339.84 : x
  2. Step 2: Convert to fraction form
    27,915/38,522.72 = 15,339.84/x
  3. Step 3: Cross multiply
    27,915x = 38,522.72 × 15,339.84
  4. Step 4: Simplify right side
    27,915x = 590,932,361.16
  5. Step 5: Solve for x
    x = 590,932,361.16/27,915
  6. Step 6: Final answer
    x = 21,168.99

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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.