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Finding the Fourth Proportional to 2,869.84, 3,953.64 and 2,342.80

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Solution

The fourth proportional to 2,869.84, 3,953.64 and 2,342.80 is: 3,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.84 : 3,953.64 = 2,342.80 : x
  2. Step 2: Convert to fraction form
    2,869.84/3,953.64 = 2,342.80/x
  3. Step 3: Cross multiply
    2,869.84x = 3,953.64 × 2,342.80
  4. Step 4: Simplify right side
    2,869.84x = 9,262,587.79
  5. Step 5: Solve for x
    x = 9,262,587.79/2,869.84
  6. Step 6: Final answer
    x = 3,227.56

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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.