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Finding the Fourth Proportional to 10,635, 14,676.30 and 5,920.19

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Solution

The fourth proportional to 10,635, 14,676.30 and 5,920.19 is: 8,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635 : 14,676.30 = 5,920.19 : x
  2. Step 2: Convert to fraction form
    10,635/14,676.30 = 5,920.19/x
  3. Step 3: Cross multiply
    10,635x = 14,676.30 × 5,920.19
  4. Step 4: Simplify right side
    10,635x = 86,886,521.19
  5. Step 5: Solve for x
    x = 86,886,521.19/10,635
  6. Step 6: Final answer
    x = 8,169.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.