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Finding the Fourth Proportional to 9,978.22, 14,966.64 and 4,134.64

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Solution

The fourth proportional to 9,978.22, 14,966.64 and 4,134.64 is: 6,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.22 : 14,966.64 = 4,134.64 : x
  2. Step 2: Convert to fraction form
    9,978.22/14,966.64 = 4,134.64/x
  3. Step 3: Cross multiply
    9,978.22x = 14,966.64 × 4,134.64
  4. Step 4: Simplify right side
    9,978.22x = 61,881,668.41
  5. Step 5: Solve for x
    x = 61,881,668.41/9,978.22
  6. Step 6: Final answer
    x = 6,201.67

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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.