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Finding the Fourth Proportional to 1,407.12, 1,941.90 and 817.84

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Solution

The fourth proportional to 1,407.12, 1,941.90 and 817.84 is: 1,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.12 : 1,941.90 = 817.84 : x
  2. Step 2: Convert to fraction form
    1,407.12/1,941.90 = 817.84/x
  3. Step 3: Cross multiply
    1,407.12x = 1,941.90 × 817.84
  4. Step 4: Simplify right side
    1,407.12x = 1,588,163.50
  5. Step 5: Solve for x
    x = 1,588,163.50/1,407.12
  6. Step 6: Final answer
    x = 1,128.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.