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Finding the Fourth Proportional to 9,290.92, 13,938.27 and 8,361.46

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Solution

The fourth proportional to 9,290.92, 13,938.27 and 8,361.46 is: 12,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.92 : 13,938.27 = 8,361.46 : x
  2. Step 2: Convert to fraction form
    9,290.92/13,938.27 = 8,361.46/x
  3. Step 3: Cross multiply
    9,290.92x = 13,938.27 × 8,361.46
  4. Step 4: Simplify right side
    9,290.92x = 116,544,287.07
  5. Step 5: Solve for x
    x = 116,544,287.07/9,290.92
  6. Step 6: Final answer
    x = 12,543.89

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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.