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Finding the Fourth Proportional to 20,362.16, 30,549.72 and 9,968.24

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Solution

The fourth proportional to 20,362.16, 30,549.72 and 9,968.24 is: 14,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.16 : 30,549.72 = 9,968.24 : x
  2. Step 2: Convert to fraction form
    20,362.16/30,549.72 = 9,968.24/x
  3. Step 3: Cross multiply
    20,362.16x = 30,549.72 × 9,968.24
  4. Step 4: Simplify right side
    20,362.16x = 304,526,940.89
  5. Step 5: Solve for x
    x = 304,526,940.89/20,362.16
  6. Step 6: Final answer
    x = 14,955.53

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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.