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Finding the Fourth Proportional to 1,386.96, 1,913.67 and 862.62

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Solution

The fourth proportional to 1,386.96, 1,913.67 and 862.62 is: 1,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.96 : 1,913.67 = 862.62 : x
  2. Step 2: Convert to fraction form
    1,386.96/1,913.67 = 862.62/x
  3. Step 3: Cross multiply
    1,386.96x = 1,913.67 × 862.62
  4. Step 4: Simplify right side
    1,386.96x = 1,650,770.02
  5. Step 5: Solve for x
    x = 1,650,770.02/1,386.96
  6. Step 6: Final answer
    x = 1,190.21

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