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Finding the Fourth Proportional to 3,656.65, 5,483.93 and 1,191.68

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Solution

The fourth proportional to 3,656.65, 5,483.93 and 1,191.68 is: 1,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.65 : 5,483.93 = 1,191.68 : x
  2. Step 2: Convert to fraction form
    3,656.65/5,483.93 = 1,191.68/x
  3. Step 3: Cross multiply
    3,656.65x = 5,483.93 × 1,191.68
  4. Step 4: Simplify right side
    3,656.65x = 6,535,101.63
  5. Step 5: Solve for x
    x = 6,535,101.63/3,656.65
  6. Step 6: Final answer
    x = 1,787.18

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Why These Related Problems?

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