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Finding the Fourth Proportional to 9,350, 14,004.40 and 7,728.74

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Solution

The fourth proportional to 9,350, 14,004.40 and 7,728.74 is: 11,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350 : 14,004.40 = 7,728.74 : x
  2. Step 2: Convert to fraction form
    9,350/14,004.40 = 7,728.74/x
  3. Step 3: Cross multiply
    9,350x = 14,004.40 × 7,728.74
  4. Step 4: Simplify right side
    9,350x = 108,236,327.81
  5. Step 5: Solve for x
    x = 108,236,327.81/9,350
  6. Step 6: Final answer
    x = 11,576.08

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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.