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Finding the Fourth Proportional to 3,406.84, 4,700.76 and 1,914.82

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Solution

The fourth proportional to 3,406.84, 4,700.76 and 1,914.82 is: 2,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.84 : 4,700.76 = 1,914.82 : x
  2. Step 2: Convert to fraction form
    3,406.84/4,700.76 = 1,914.82/x
  3. Step 3: Cross multiply
    3,406.84x = 4,700.76 × 1,914.82
  4. Step 4: Simplify right side
    3,406.84x = 9,001,109.26
  5. Step 5: Solve for x
    x = 9,001,109.26/3,406.84
  6. Step 6: Final answer
    x = 2,642.07

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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.