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Finding the Fourth Proportional to 14,643.12, 20,207.42 and 7,928.68

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Solution

The fourth proportional to 14,643.12, 20,207.42 and 7,928.68 is: 10,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.12 : 20,207.42 = 7,928.68 : x
  2. Step 2: Convert to fraction form
    14,643.12/20,207.42 = 7,928.68/x
  3. Step 3: Cross multiply
    14,643.12x = 20,207.42 × 7,928.68
  4. Step 4: Simplify right side
    14,643.12x = 160,218,166.81
  5. Step 5: Solve for x
    x = 160,218,166.81/14,643.12
  6. Step 6: Final answer
    x = 10,941.53

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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.