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Finding the Fourth Proportional to 10,080, 15,120 and 2,784

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Solution

The fourth proportional to 10,080, 15,120 and 2,784 is: 4,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,120 = 2,784 : x
  2. Step 2: Convert to fraction form
    10,080/15,120 = 2,784/x
  3. Step 3: Cross multiply
    10,080x = 15,120 × 2,784
  4. Step 4: Simplify right side
    10,080x = 42,094,080
  5. Step 5: Solve for x
    x = 42,094,080/10,080
  6. Step 6: Final answer
    x = 4,176

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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.