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Finding the Fourth Proportional to 1,421.51, 1,961.70 and 800.51

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Solution

The fourth proportional to 1,421.51, 1,961.70 and 800.51 is: 1,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.51 : 1,961.70 = 800.51 : x
  2. Step 2: Convert to fraction form
    1,421.51/1,961.70 = 800.51/x
  3. Step 3: Cross multiply
    1,421.51x = 1,961.70 × 800.51
  4. Step 4: Simplify right side
    1,421.51x = 1,570,360.47
  5. Step 5: Solve for x
    x = 1,570,360.47/1,421.51
  6. Step 6: Final answer
    x = 1,104.71

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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.