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Finding the Fourth Proportional to 1,000.10, 1,372 and 927.20

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Solution

The fourth proportional to 1,000.10, 1,372 and 927.20 is: 1,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.10 : 1,372 = 927.20 : x
  2. Step 2: Convert to fraction form
    1,000.10/1,372 = 927.20/x
  3. Step 3: Cross multiply
    1,000.10x = 1,372 × 927.20
  4. Step 4: Simplify right side
    1,000.10x = 1,272,118.40
  5. Step 5: Solve for x
    x = 1,272,118.40/1,000.10
  6. Step 6: Final answer
    x = 1,271.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.