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Finding the Fourth Proportional to 3,869.76, 5,341.12 and 2,378.94

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Solution

The fourth proportional to 3,869.76, 5,341.12 and 2,378.94 is: 3,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.76 : 5,341.12 = 2,378.94 : x
  2. Step 2: Convert to fraction form
    3,869.76/5,341.12 = 2,378.94/x
  3. Step 3: Cross multiply
    3,869.76x = 5,341.12 × 2,378.94
  4. Step 4: Simplify right side
    3,869.76x = 12,706,204.01
  5. Step 5: Solve for x
    x = 12,706,204.01/3,869.76
  6. Step 6: Final answer
    x = 3,283.46

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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.