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Finding the Fourth Proportional to 3,254.85, 4,492.28 and 1,929.21

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Solution

The fourth proportional to 3,254.85, 4,492.28 and 1,929.21 is: 2,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.85 : 4,492.28 = 1,929.21 : x
  2. Step 2: Convert to fraction form
    3,254.85/4,492.28 = 1,929.21/x
  3. Step 3: Cross multiply
    3,254.85x = 4,492.28 × 1,929.21
  4. Step 4: Simplify right side
    3,254.85x = 8,666,551.50
  5. Step 5: Solve for x
    x = 8,666,551.50/3,254.85
  6. Step 6: Final answer
    x = 2,662.66

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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.