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Finding the Fourth Proportional to 1,884.22, 2,828.01 and 1,307.50

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Solution

The fourth proportional to 1,884.22, 2,828.01 and 1,307.50 is: 1,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.22 : 2,828.01 = 1,307.50 : x
  2. Step 2: Convert to fraction form
    1,884.22/2,828.01 = 1,307.50/x
  3. Step 3: Cross multiply
    1,884.22x = 2,828.01 × 1,307.50
  4. Step 4: Simplify right side
    1,884.22x = 3,697,623.08
  5. Step 5: Solve for x
    x = 3,697,623.08/1,884.22
  6. Step 6: Final answer
    x = 1,962.42

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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.