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Finding the Fourth Proportional to 7,352, 11,028 and 1,880

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Solution

The fourth proportional to 7,352, 11,028 and 1,880 is: 2,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352 : 11,028 = 1,880 : x
  2. Step 2: Convert to fraction form
    7,352/11,028 = 1,880/x
  3. Step 3: Cross multiply
    7,352x = 11,028 × 1,880
  4. Step 4: Simplify right side
    7,352x = 20,732,640
  5. Step 5: Solve for x
    x = 20,732,640/7,352
  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.