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Finding the Fourth Proportional to 2,829.81, 3,907.14 and 2,530.16

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Solution

The fourth proportional to 2,829.81, 3,907.14 and 2,530.16 is: 3,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.81 : 3,907.14 = 2,530.16 : x
  2. Step 2: Convert to fraction form
    2,829.81/3,907.14 = 2,530.16/x
  3. Step 3: Cross multiply
    2,829.81x = 3,907.14 × 2,530.16
  4. Step 4: Simplify right side
    2,829.81x = 9,885,685.96
  5. Step 5: Solve for x
    x = 9,885,685.96/2,829.81
  6. Step 6: Final answer
    x = 3,493.41

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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.