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Finding the Fourth Proportional to 3,386.80, 4,674.06 and 1,895.02

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Solution

The fourth proportional to 3,386.80, 4,674.06 and 1,895.02 is: 2,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.80 : 4,674.06 = 1,895.02 : x
  2. Step 2: Convert to fraction form
    3,386.80/4,674.06 = 1,895.02/x
  3. Step 3: Cross multiply
    3,386.80x = 4,674.06 × 1,895.02
  4. Step 4: Simplify right side
    3,386.80x = 8,857,437.18
  5. Step 5: Solve for x
    x = 8,857,437.18/3,386.80
  6. Step 6: Final answer
    x = 2,615.28

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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.