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Finding the Fourth Proportional to 14,463.12, 19,960.08 and 8,090.31

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Solution

The fourth proportional to 14,463.12, 19,960.08 and 8,090.31 is: 11,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.12 : 19,960.08 = 8,090.31 : x
  2. Step 2: Convert to fraction form
    14,463.12/19,960.08 = 8,090.31/x
  3. Step 3: Cross multiply
    14,463.12x = 19,960.08 × 8,090.31
  4. Step 4: Simplify right side
    14,463.12x = 161,483,234.82
  5. Step 5: Solve for x
    x = 161,483,234.82/14,463.12
  6. Step 6: Final answer
    x = 11,165.17

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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.