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Finding the Fourth Proportional to 5,040, 7,560 and 1,392

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Solution

The fourth proportional to 5,040, 7,560 and 1,392 is: 2,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040 : 7,560 = 1,392 : x
  2. Step 2: Convert to fraction form
    5,040/7,560 = 1,392/x
  3. Step 3: Cross multiply
    5,040x = 7,560 × 1,392
  4. Step 4: Simplify right side
    5,040x = 10,523,520
  5. Step 5: Solve for x
    x = 10,523,520/5,040
  6. Step 6: Final answer
    x = 2,088

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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.