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Finding the Fourth Proportional to 9,678.34, 14,514.99 and 2,658.34

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Solution

The fourth proportional to 9,678.34, 14,514.99 and 2,658.34 is: 3,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.34 : 14,514.99 = 2,658.34 : x
  2. Step 2: Convert to fraction form
    9,678.34/14,514.99 = 2,658.34/x
  3. Step 3: Cross multiply
    9,678.34x = 14,514.99 × 2,658.34
  4. Step 4: Simplify right side
    9,678.34x = 38,585,778.52
  5. Step 5: Solve for x
    x = 38,585,778.52/9,678.34
  6. Step 6: Final answer
    x = 3,986.82

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1.5x scale

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.