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Finding the Fourth Proportional to 9,686.40, 14,522.40 and 3,108.80

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Solution

The fourth proportional to 9,686.40, 14,522.40 and 3,108.80 is: 4,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.40 : 14,522.40 = 3,108.80 : x
  2. Step 2: Convert to fraction form
    9,686.40/14,522.40 = 3,108.80/x
  3. Step 3: Cross multiply
    9,686.40x = 14,522.40 × 3,108.80
  4. Step 4: Simplify right side
    9,686.40x = 45,147,237.12
  5. Step 5: Solve for x
    x = 45,147,237.12/9,686.40
  6. Step 6: Final answer
    x = 4,660.89

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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.