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Finding the Fourth Proportional to 5,528, 8,292 and 1,880

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Solution

The fourth proportional to 5,528, 8,292 and 1,880 is: 2,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528 : 8,292 = 1,880 : x
  2. Step 2: Convert to fraction form
    5,528/8,292 = 1,880/x
  3. Step 3: Cross multiply
    5,528x = 8,292 × 1,880
  4. Step 4: Simplify right side
    5,528x = 15,588,960
  5. Step 5: Solve for x
    x = 15,588,960/5,528
  6. Step 6: Final answer
    x = 2,820

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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.