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Finding the Fourth Proportional to 3,429.90, 4,733.23 and 1,938.30

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Solution

The fourth proportional to 3,429.90, 4,733.23 and 1,938.30 is: 2,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.90 : 4,733.23 = 1,938.30 : x
  2. Step 2: Convert to fraction form
    3,429.90/4,733.23 = 1,938.30/x
  3. Step 3: Cross multiply
    3,429.90x = 4,733.23 × 1,938.30
  4. Step 4: Simplify right side
    3,429.90x = 9,174,419.71
  5. Step 5: Solve for x
    x = 9,174,419.71/3,429.90
  6. Step 6: Final answer
    x = 2,674.84

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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.