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Finding the Fourth Proportional to 3,000.66, 4,500.78 and 1,053

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Solution

The fourth proportional to 3,000.66, 4,500.78 and 1,053 is: 1,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.66 : 4,500.78 = 1,053 : x
  2. Step 2: Convert to fraction form
    3,000.66/4,500.78 = 1,053/x
  3. Step 3: Cross multiply
    3,000.66x = 4,500.78 × 1,053
  4. Step 4: Simplify right side
    3,000.66x = 4,739,321.34
  5. Step 5: Solve for x
    x = 4,739,321.34/3,000.66
  6. Step 6: Final answer
    x = 1,579.43

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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.