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Finding the Fourth Proportional to 3,312.95, 4,971.51 and 1,853.06

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Solution

The fourth proportional to 3,312.95, 4,971.51 and 1,853.06 is: 2,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.95 : 4,971.51 = 1,853.06 : x
  2. Step 2: Convert to fraction form
    3,312.95/4,971.51 = 1,853.06/x
  3. Step 3: Cross multiply
    3,312.95x = 4,971.51 × 1,853.06
  4. Step 4: Simplify right side
    3,312.95x = 9,212,481.46
  5. Step 5: Solve for x
    x = 9,212,481.46/3,312.95
  6. Step 6: Final answer
    x = 2,780.75

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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.