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Finding the Fourth Proportional to 5,045.68, 6,969.71 and 4,209.15

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Solution

The fourth proportional to 5,045.68, 6,969.71 and 4,209.15 is: 5,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.68 : 6,969.71 = 4,209.15 : x
  2. Step 2: Convert to fraction form
    5,045.68/6,969.71 = 4,209.15/x
  3. Step 3: Cross multiply
    5,045.68x = 6,969.71 × 4,209.15
  4. Step 4: Simplify right side
    5,045.68x = 29,336,554.85
  5. Step 5: Solve for x
    x = 29,336,554.85/5,045.68
  6. Step 6: Final answer
    x = 5,814.19

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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.