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Finding the Fourth Proportional to 3,492, 4,817.88 and 2,313.72

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Solution

The fourth proportional to 3,492, 4,817.88 and 2,313.72 is: 3,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 4,817.88 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    3,492/4,817.88 = 2,313.72/x
  3. Step 3: Cross multiply
    3,492x = 4,817.88 × 2,313.72
  4. Step 4: Simplify right side
    3,492x = 11,147,225.31
  5. Step 5: Solve for x
    x = 11,147,225.31/3,492
  6. Step 6: Final answer
    x = 3,192.22

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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.