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Finding the Fourth Proportional to 2,611.92, 3,897.64 and 2,335

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Solution

The fourth proportional to 2,611.92, 3,897.64 and 2,335 is: 3,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.92 : 3,897.64 = 2,335 : x
  2. Step 2: Convert to fraction form
    2,611.92/3,897.64 = 2,335/x
  3. Step 3: Cross multiply
    2,611.92x = 3,897.64 × 2,335
  4. Step 4: Simplify right side
    2,611.92x = 9,100,989.40
  5. Step 5: Solve for x
    x = 9,100,989.40/2,611.92
  6. Step 6: Final answer
    x = 3,484.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.