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Finding the Fourth Proportional to 13,154, 19,739.64 and 4,946

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Solution

The fourth proportional to 13,154, 19,739.64 and 4,946 is: 7,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154 : 19,739.64 = 4,946 : x
  2. Step 2: Convert to fraction form
    13,154/19,739.64 = 4,946/x
  3. Step 3: Cross multiply
    13,154x = 19,739.64 × 4,946
  4. Step 4: Simplify right side
    13,154x = 97,632,259.44
  5. Step 5: Solve for x
    x = 97,632,259.44/13,154
  6. Step 6: Final answer
    x = 7,422.25

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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.