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Finding the Fourth Proportional to 14,180, 21,279.74 and 4,946

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Solution

The fourth proportional to 14,180, 21,279.74 and 4,946 is: 7,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180 : 21,279.74 = 4,946 : x
  2. Step 2: Convert to fraction form
    14,180/21,279.74 = 4,946/x
  3. Step 3: Cross multiply
    14,180x = 21,279.74 × 4,946
  4. Step 4: Simplify right side
    14,180x = 105,249,594.04
  5. Step 5: Solve for x
    x = 105,249,594.04/14,180
  6. Step 6: Final answer
    x = 7,422.40

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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.