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Finding the Fourth Proportional to 14,617.60, 21,940.80 and 7,230.40

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Solution

The fourth proportional to 14,617.60, 21,940.80 and 7,230.40 is: 10,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.60 : 21,940.80 = 7,230.40 : x
  2. Step 2: Convert to fraction form
    14,617.60/21,940.80 = 7,230.40/x
  3. Step 3: Cross multiply
    14,617.60x = 21,940.80 × 7,230.40
  4. Step 4: Simplify right side
    14,617.60x = 158,640,760.32
  5. Step 5: Solve for x
    x = 158,640,760.32/14,617.60
  6. Step 6: Final answer
    x = 10,852.72

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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.