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Finding the Fourth Proportional to 13,854.60, 19,116 and 7,803.54

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Solution

The fourth proportional to 13,854.60, 19,116 and 7,803.54 is: 10,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.60 : 19,116 = 7,803.54 : x
  2. Step 2: Convert to fraction form
    13,854.60/19,116 = 7,803.54/x
  3. Step 3: Cross multiply
    13,854.60x = 19,116 × 7,803.54
  4. Step 4: Simplify right side
    13,854.60x = 149,172,470.64
  5. Step 5: Solve for x
    x = 149,172,470.64/13,854.60
  6. Step 6: Final answer
    x = 10,767.00

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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.