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Finding the Fourth Proportional to 9,586.50, 14,381.10 and 3,013.22

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Solution

The fourth proportional to 9,586.50, 14,381.10 and 3,013.22 is: 4,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.50 : 14,381.10 = 3,013.22 : x
  2. Step 2: Convert to fraction form
    9,586.50/14,381.10 = 3,013.22/x
  3. Step 3: Cross multiply
    9,586.50x = 14,381.10 × 3,013.22
  4. Step 4: Simplify right side
    9,586.50x = 43,333,418.14
  5. Step 5: Solve for x
    x = 43,333,418.14/9,586.50
  6. Step 6: Final answer
    x = 4,520.25

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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.