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Finding the Fourth Proportional to 2,368.86, 3,269.12 and 1,320.99

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Solution

The fourth proportional to 2,368.86, 3,269.12 and 1,320.99 is: 1,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.86 : 3,269.12 = 1,320.99 : x
  2. Step 2: Convert to fraction form
    2,368.86/3,269.12 = 1,320.99/x
  3. Step 3: Cross multiply
    2,368.86x = 3,269.12 × 1,320.99
  4. Step 4: Simplify right side
    2,368.86x = 4,318,474.83
  5. Step 5: Solve for x
    x = 4,318,474.83/2,368.86
  6. Step 6: Final answer
    x = 1,823.02

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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.