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Finding the Fourth Proportional to 3,459.66, 4,774.74 and 1,967.80

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Solution

The fourth proportional to 3,459.66, 4,774.74 and 1,967.80 is: 2,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.66 : 4,774.74 = 1,967.80 : x
  2. Step 2: Convert to fraction form
    3,459.66/4,774.74 = 1,967.80/x
  3. Step 3: Cross multiply
    3,459.66x = 4,774.74 × 1,967.80
  4. Step 4: Simplify right side
    3,459.66x = 9,395,733.37
  5. Step 5: Solve for x
    x = 9,395,733.37/3,459.66
  6. Step 6: Final answer
    x = 2,715.80

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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.