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Finding the Fourth Proportional to 9,289.35, 12,809.53 and 7,165.22

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Solution

The fourth proportional to 9,289.35, 12,809.53 and 7,165.22 is: 9,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.35 : 12,809.53 = 7,165.22 : x
  2. Step 2: Convert to fraction form
    9,289.35/12,809.53 = 7,165.22/x
  3. Step 3: Cross multiply
    9,289.35x = 12,809.53 × 7,165.22
  4. Step 4: Simplify right side
    9,289.35x = 91,783,064.72
  5. Step 5: Solve for x
    x = 91,783,064.72/9,289.35
  6. Step 6: Final answer
    x = 9,880.47

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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.