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Finding the Fourth Proportional to 4,938, 7,407 and 1,290

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Solution

The fourth proportional to 4,938, 7,407 and 1,290 is: 1,935

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938 : 7,407 = 1,290 : x
  2. Step 2: Convert to fraction form
    4,938/7,407 = 1,290/x
  3. Step 3: Cross multiply
    4,938x = 7,407 × 1,290
  4. Step 4: Simplify right side
    4,938x = 9,555,030
  5. Step 5: Solve for x
    x = 9,555,030/4,938
  6. Step 6: Final answer
    x = 1,935

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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.