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Finding the Fourth Proportional to 6,986.99, 9,642.65 and 4,152.94

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Solution

The fourth proportional to 6,986.99, 9,642.65 and 4,152.94 is: 5,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.99 : 9,642.65 = 4,152.94 : x
  2. Step 2: Convert to fraction form
    6,986.99/9,642.65 = 4,152.94/x
  3. Step 3: Cross multiply
    6,986.99x = 9,642.65 × 4,152.94
  4. Step 4: Simplify right side
    6,986.99x = 40,045,302.02
  5. Step 5: Solve for x
    x = 40,045,302.02/6,986.99
  6. Step 6: Final answer
    x = 5,731.41

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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.