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Finding the Fourth Proportional to 7,897.76, 11,839.60 and 4,000.16

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Solution

The fourth proportional to 7,897.76, 11,839.60 and 4,000.16 is: 5,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.76 : 11,839.60 = 4,000.16 : x
  2. Step 2: Convert to fraction form
    7,897.76/11,839.60 = 4,000.16/x
  3. Step 3: Cross multiply
    7,897.76x = 11,839.60 × 4,000.16
  4. Step 4: Simplify right side
    7,897.76x = 47,360,294.34
  5. Step 5: Solve for x
    x = 47,360,294.34/7,897.76
  6. Step 6: Final answer
    x = 5,996.67

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1.5x scale

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.