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Finding the Fourth Proportional to 2,664.81, 3,676.69 and 1,720.63

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Solution

The fourth proportional to 2,664.81, 3,676.69 and 1,720.63 is: 2,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.81 : 3,676.69 = 1,720.63 : x
  2. Step 2: Convert to fraction form
    2,664.81/3,676.69 = 1,720.63/x
  3. Step 3: Cross multiply
    2,664.81x = 3,676.69 × 1,720.63
  4. Step 4: Simplify right side
    2,664.81x = 6,326,223.11
  5. Step 5: Solve for x
    x = 6,326,223.11/2,664.81
  6. Step 6: Final answer
    x = 2,373.99

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1.5x scale

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.