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Finding the Fourth Proportional to 10,116, 13,959.78 and 5,639.65

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Solution

The fourth proportional to 10,116, 13,959.78 and 5,639.65 is: 7,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116 : 13,959.78 = 5,639.65 : x
  2. Step 2: Convert to fraction form
    10,116/13,959.78 = 5,639.65/x
  3. Step 3: Cross multiply
    10,116x = 13,959.78 × 5,639.65
  4. Step 4: Simplify right side
    10,116x = 78,728,273.28
  5. Step 5: Solve for x
    x = 78,728,273.28/10,116
  6. Step 6: Final answer
    x = 7,782.55

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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.