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Finding the Fourth Proportional to 3,699, 5,102.46 and 2,302.20

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Solution

The fourth proportional to 3,699, 5,102.46 and 2,302.20 is: 3,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,102.46 = 2,302.20 : x
  2. Step 2: Convert to fraction form
    3,699/5,102.46 = 2,302.20/x
  3. Step 3: Cross multiply
    3,699x = 5,102.46 × 2,302.20
  4. Step 4: Simplify right side
    3,699x = 11,746,883.41
  5. Step 5: Solve for x
    x = 11,746,883.41/3,699
  6. Step 6: Final answer
    x = 3,175.69

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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.