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Finding the Fourth Proportional to 14,643.20, 20,207.62 and 7,928.88

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Solution

The fourth proportional to 14,643.20, 20,207.62 and 7,928.88 is: 10,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.20 : 20,207.62 = 7,928.88 : x
  2. Step 2: Convert to fraction form
    14,643.20/20,207.62 = 7,928.88/x
  3. Step 3: Cross multiply
    14,643.20x = 20,207.62 × 7,928.88
  4. Step 4: Simplify right side
    14,643.20x = 160,223,794.07
  5. Step 5: Solve for x
    x = 160,223,794.07/14,643.20
  6. Step 6: Final answer
    x = 10,941.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.