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Finding the Fourth Proportional to 27,765, 38,315.76 and 15,189.84

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Solution

The fourth proportional to 27,765, 38,315.76 and 15,189.84 is: 20,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 38,315.76 = 15,189.84 : x
  2. Step 2: Convert to fraction form
    27,765/38,315.76 = 15,189.84/x
  3. Step 3: Cross multiply
    27,765x = 38,315.76 × 15,189.84
  4. Step 4: Simplify right side
    27,765x = 582,010,263.88
  5. Step 5: Solve for x
    x = 582,010,263.88/27,765
  6. Step 6: Final answer
    x = 20,962.01

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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.