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Finding the Fourth Proportional to 1,386.10, 2,081.18 and 840.57

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Solution

The fourth proportional to 1,386.10, 2,081.18 and 840.57 is: 1,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.10 : 2,081.18 = 840.57 : x
  2. Step 2: Convert to fraction form
    1,386.10/2,081.18 = 840.57/x
  3. Step 3: Cross multiply
    1,386.10x = 2,081.18 × 840.57
  4. Step 4: Simplify right side
    1,386.10x = 1,749,362.86
  5. Step 5: Solve for x
    x = 1,749,362.86/1,386.10
  6. Step 6: Final answer
    x = 1,262.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.