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Finding the Fourth Proportional to 14,411, 19,887.18 and 7,787

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Solution

The fourth proportional to 14,411, 19,887.18 and 7,787 is: 10,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411 : 19,887.18 = 7,787 : x
  2. Step 2: Convert to fraction form
    14,411/19,887.18 = 7,787/x
  3. Step 3: Cross multiply
    14,411x = 19,887.18 × 7,787
  4. Step 4: Simplify right side
    14,411x = 154,861,470.66
  5. Step 5: Solve for x
    x = 154,861,470.66/14,411
  6. Step 6: Final answer
    x = 10,746.06

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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.