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Finding the Fourth Proportional to 1,402.06, 1,920.83 and 1,349.51

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Solution

The fourth proportional to 1,402.06, 1,920.83 and 1,349.51 is: 1,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.06 : 1,920.83 = 1,349.51 : x
  2. Step 2: Convert to fraction form
    1,402.06/1,920.83 = 1,349.51/x
  3. Step 3: Cross multiply
    1,402.06x = 1,920.83 × 1,349.51
  4. Step 4: Simplify right side
    1,402.06x = 2,592,179.29
  5. Step 5: Solve for x
    x = 2,592,179.29/1,402.06
  6. Step 6: Final answer
    x = 1,848.84

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