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Finding the Fourth Proportional to 7,338, 10,126.32 and 4,194.08

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Solution

The fourth proportional to 7,338, 10,126.32 and 4,194.08 is: 5,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338 : 10,126.32 = 4,194.08 : x
  2. Step 2: Convert to fraction form
    7,338/10,126.32 = 4,194.08/x
  3. Step 3: Cross multiply
    7,338x = 10,126.32 × 4,194.08
  4. Step 4: Simplify right side
    7,338x = 42,470,596.19
  5. Step 5: Solve for x
    x = 42,470,596.19/7,338
  6. Step 6: Final answer
    x = 5,787.76

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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.