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Finding the Fourth Proportional to 1,820.76, 2,731.54 and 666.50

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Solution

The fourth proportional to 1,820.76, 2,731.54 and 666.50 is: 999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.76 : 2,731.54 = 666.50 : x
  2. Step 2: Convert to fraction form
    1,820.76/2,731.54 = 666.50/x
  3. Step 3: Cross multiply
    1,820.76x = 2,731.54 × 666.50
  4. Step 4: Simplify right side
    1,820.76x = 1,820,571.41
  5. Step 5: Solve for x
    x = 1,820,571.41/1,820.76
  6. Step 6: Final answer
    x = 999.90

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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.