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Finding the Fourth Proportional to 9,638.70, 14,490.45 and 8,213.10

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Solution

The fourth proportional to 9,638.70, 14,490.45 and 8,213.10 is: 12,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.70 : 14,490.45 = 8,213.10 : x
  2. Step 2: Convert to fraction form
    9,638.70/14,490.45 = 8,213.10/x
  3. Step 3: Cross multiply
    9,638.70x = 14,490.45 × 8,213.10
  4. Step 4: Simplify right side
    9,638.70x = 119,011,514.90
  5. Step 5: Solve for x
    x = 119,011,514.90/9,638.70
  6. Step 6: Final answer
    x = 12,347.26

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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.