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Finding the Fourth Proportional to 1,477.34, 2,215.84 and 927.90

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Solution

The fourth proportional to 1,477.34, 2,215.84 and 927.90 is: 1,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.34 : 2,215.84 = 927.90 : x
  2. Step 2: Convert to fraction form
    1,477.34/2,215.84 = 927.90/x
  3. Step 3: Cross multiply
    1,477.34x = 2,215.84 × 927.90
  4. Step 4: Simplify right side
    1,477.34x = 2,056,077.94
  5. Step 5: Solve for x
    x = 2,056,077.94/1,477.34
  6. Step 6: Final answer
    x = 1,391.74

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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.