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Finding the Fourth Proportional to 20,397, 30,598.74 and 9,303.60

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Solution

The fourth proportional to 20,397, 30,598.74 and 9,303.60 is: 13,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397 : 30,598.74 = 9,303.60 : x
  2. Step 2: Convert to fraction form
    20,397/30,598.74 = 9,303.60/x
  3. Step 3: Cross multiply
    20,397x = 30,598.74 × 9,303.60
  4. Step 4: Simplify right side
    20,397x = 284,678,437.46
  5. Step 5: Solve for x
    x = 284,678,437.46/20,397
  6. Step 6: Final answer
    x = 13,956.88

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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.