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Finding the Fourth Proportional to 14,401.26, 19,865.66 and 8,431.76

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Solution

The fourth proportional to 14,401.26, 19,865.66 and 8,431.76 is: 11,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.26 : 19,865.66 = 8,431.76 : x
  2. Step 2: Convert to fraction form
    14,401.26/19,865.66 = 8,431.76/x
  3. Step 3: Cross multiply
    14,401.26x = 19,865.66 × 8,431.76
  4. Step 4: Simplify right side
    14,401.26x = 167,502,484.87
  5. Step 5: Solve for x
    x = 167,502,484.87/14,401.26
  6. Step 6: Final answer
    x = 11,631.10

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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.