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Finding the Fourth Proportional to 15,390, 23,090.76 and 7,989.84

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Solution

The fourth proportional to 15,390, 23,090.76 and 7,989.84 is: 11,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,390 : 23,090.76 = 7,989.84 : x
  2. Step 2: Convert to fraction form
    15,390/23,090.76 = 7,989.84/x
  3. Step 3: Cross multiply
    15,390x = 23,090.76 × 7,989.84
  4. Step 4: Simplify right side
    15,390x = 184,491,477.88
  5. Step 5: Solve for x
    x = 184,491,477.88/15,390
  6. Step 6: Final answer
    x = 11,987.75

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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.