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Finding the Fourth Proportional to 2,307.90, 3,184.00 and 1,422.17

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Solution

The fourth proportional to 2,307.90, 3,184.00 and 1,422.17 is: 1,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.90 : 3,184.00 = 1,422.17 : x
  2. Step 2: Convert to fraction form
    2,307.90/3,184.00 = 1,422.17/x
  3. Step 3: Cross multiply
    2,307.90x = 3,184.00 × 1,422.17
  4. Step 4: Simplify right side
    2,307.90x = 4,528,169.80
  5. Step 5: Solve for x
    x = 4,528,169.80/2,307.90
  6. Step 6: Final answer
    x = 1,962.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.