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Finding the Fourth Proportional to 14,978.56, 20,686.08 and 9,392.64

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Solution

The fourth proportional to 14,978.56, 20,686.08 and 9,392.64 is: 12,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.56 : 20,686.08 = 9,392.64 : x
  2. Step 2: Convert to fraction form
    14,978.56/20,686.08 = 9,392.64/x
  3. Step 3: Cross multiply
    14,978.56x = 20,686.08 × 9,392.64
  4. Step 4: Simplify right side
    14,978.56x = 194,296,902.45
  5. Step 5: Solve for x
    x = 194,296,902.45/14,978.56
  6. Step 6: Final answer
    x = 12,971.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.