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Finding the Fourth Proportional to 6,353.28, 9,531.54 and 1,970.78

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Solution

The fourth proportional to 6,353.28, 9,531.54 and 1,970.78 is: 2,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.28 : 9,531.54 = 1,970.78 : x
  2. Step 2: Convert to fraction form
    6,353.28/9,531.54 = 1,970.78/x
  3. Step 3: Cross multiply
    6,353.28x = 9,531.54 × 1,970.78
  4. Step 4: Simplify right side
    6,353.28x = 18,784,520.74
  5. Step 5: Solve for x
    x = 18,784,520.74/6,353.28
  6. Step 6: Final answer
    x = 2,956.67

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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.