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Finding the Fourth Proportional to 3,460.64, 4,770 and 2,674.40

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Solution

The fourth proportional to 3,460.64, 4,770 and 2,674.40 is: 3,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.64 : 4,770 = 2,674.40 : x
  2. Step 2: Convert to fraction form
    3,460.64/4,770 = 2,674.40/x
  3. Step 3: Cross multiply
    3,460.64x = 4,770 × 2,674.40
  4. Step 4: Simplify right side
    3,460.64x = 12,756,888
  5. Step 5: Solve for x
    x = 12,756,888/3,460.64
  6. Step 6: Final answer
    x = 3,686.28

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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.