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Finding the Fourth Proportional to 4,903.78, 7,355.60 and 1,981.30

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Solution

The fourth proportional to 4,903.78, 7,355.60 and 1,981.30 is: 2,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.78 : 7,355.60 = 1,981.30 : x
  2. Step 2: Convert to fraction form
    4,903.78/7,355.60 = 1,981.30/x
  3. Step 3: Cross multiply
    4,903.78x = 7,355.60 × 1,981.30
  4. Step 4: Simplify right side
    4,903.78x = 14,573,650.28
  5. Step 5: Solve for x
    x = 14,573,650.28/4,903.78
  6. Step 6: Final answer
    x = 2,971.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.