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Finding the Fourth Proportional to 6,720, 10,080 and 1,856

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Solution

The fourth proportional to 6,720, 10,080 and 1,856 is: 2,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720 : 10,080 = 1,856 : x
  2. Step 2: Convert to fraction form
    6,720/10,080 = 1,856/x
  3. Step 3: Cross multiply
    6,720x = 10,080 × 1,856
  4. Step 4: Simplify right side
    6,720x = 18,708,480
  5. Step 5: Solve for x
    x = 18,708,480/6,720
  6. Step 6: Final answer
    x = 2,784

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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.