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Finding the Fourth Proportional to 9,668.40, 14,502.42 and 2,742.90

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Solution

The fourth proportional to 9,668.40, 14,502.42 and 2,742.90 is: 4,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.40 : 14,502.42 = 2,742.90 : x
  2. Step 2: Convert to fraction form
    9,668.40/14,502.42 = 2,742.90/x
  3. Step 3: Cross multiply
    9,668.40x = 14,502.42 × 2,742.90
  4. Step 4: Simplify right side
    9,668.40x = 39,778,687.82
  5. Step 5: Solve for x
    x = 39,778,687.82/9,668.40
  6. Step 6: Final answer
    x = 4,114.30

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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.