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Finding the Fourth Proportional to 9,640.50, 14,438.07 and 8,090.46

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Solution

The fourth proportional to 9,640.50, 14,438.07 and 8,090.46 is: 12,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.50 : 14,438.07 = 8,090.46 : x
  2. Step 2: Convert to fraction form
    9,640.50/14,438.07 = 8,090.46/x
  3. Step 3: Cross multiply
    9,640.50x = 14,438.07 × 8,090.46
  4. Step 4: Simplify right side
    9,640.50x = 116,810,627.81
  5. Step 5: Solve for x
    x = 116,810,627.81/9,640.50
  6. Step 6: Final answer
    x = 12,116.66

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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.