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Finding the Fourth Proportional to 30,725.72, 46,089.46 and 8,540.72

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Solution

The fourth proportional to 30,725.72, 46,089.46 and 8,540.72 is: 12,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.72 : 46,089.46 = 8,540.72 : x
  2. Step 2: Convert to fraction form
    30,725.72/46,089.46 = 8,540.72/x
  3. Step 3: Cross multiply
    30,725.72x = 46,089.46 × 8,540.72
  4. Step 4: Simplify right side
    30,725.72x = 393,637,172.81
  5. Step 5: Solve for x
    x = 393,637,172.81/30,725.72
  6. Step 6: Final answer
    x = 12,811.32

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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.