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Finding the Fourth Proportional to 3,312.95, 4,969.42 and 1,670.87

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Solution

The fourth proportional to 3,312.95, 4,969.42 and 1,670.87 is: 2,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.95 : 4,969.42 = 1,670.87 : x
  2. Step 2: Convert to fraction form
    3,312.95/4,969.42 = 1,670.87/x
  3. Step 3: Cross multiply
    3,312.95x = 4,969.42 × 1,670.87
  4. Step 4: Simplify right side
    3,312.95x = 8,303,263.04
  5. Step 5: Solve for x
    x = 8,303,263.04/3,312.95
  6. Step 6: Final answer
    x = 2,506.31

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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.