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Finding the Fourth Proportional to 15,978.64, 23,971 and 7,213.53

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Solution

The fourth proportional to 15,978.64, 23,971 and 7,213.53 is: 10,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.64 : 23,971 = 7,213.53 : x
  2. Step 2: Convert to fraction form
    15,978.64/23,971 = 7,213.53/x
  3. Step 3: Cross multiply
    15,978.64x = 23,971 × 7,213.53
  4. Step 4: Simplify right side
    15,978.64x = 172,915,527.63
  5. Step 5: Solve for x
    x = 172,915,527.63/15,978.64
  6. Step 6: Final answer
    x = 10,821.67

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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.