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Finding the Fourth Proportional to 3,459.79, 4,774.26 and 1,967.74

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Solution

The fourth proportional to 3,459.79, 4,774.26 and 1,967.74 is: 2,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.79 : 4,774.26 = 1,967.74 : x
  2. Step 2: Convert to fraction form
    3,459.79/4,774.26 = 1,967.74/x
  3. Step 3: Cross multiply
    3,459.79x = 4,774.26 × 1,967.74
  4. Step 4: Simplify right side
    3,459.79x = 9,394,502.37
  5. Step 5: Solve for x
    x = 9,394,502.37/3,459.79
  6. Step 6: Final answer
    x = 2,715.34

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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.