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Finding the Fourth Proportional to 9,212.58, 12,713 and 5,435.90

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Solution

The fourth proportional to 9,212.58, 12,713 and 5,435.90 is: 7,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.58 : 12,713 = 5,435.90 : x
  2. Step 2: Convert to fraction form
    9,212.58/12,713 = 5,435.90/x
  3. Step 3: Cross multiply
    9,212.58x = 12,713 × 5,435.90
  4. Step 4: Simplify right side
    9,212.58x = 69,106,596.70
  5. Step 5: Solve for x
    x = 69,106,596.70/9,212.58
  6. Step 6: Final answer
    x = 7,501.33

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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.