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Finding the Fourth Proportional to 14,411, 19,895.34 and 9,379.64

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Solution

The fourth proportional to 14,411, 19,895.34 and 9,379.64 is: 12,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411 : 19,895.34 = 9,379.64 : x
  2. Step 2: Convert to fraction form
    14,411/19,895.34 = 9,379.64/x
  3. Step 3: Cross multiply
    14,411x = 19,895.34 × 9,379.64
  4. Step 4: Simplify right side
    14,411x = 186,611,126.88
  5. Step 5: Solve for x
    x = 186,611,126.88/14,411
  6. Step 6: Final answer
    x = 12,949.21

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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.