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Finding the Fourth Proportional to 16,838.40, 25,263 and 6,978.72

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Solution

The fourth proportional to 16,838.40, 25,263 and 6,978.72 is: 10,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.40 : 25,263 = 6,978.72 : x
  2. Step 2: Convert to fraction form
    16,838.40/25,263 = 6,978.72/x
  3. Step 3: Cross multiply
    16,838.40x = 25,263 × 6,978.72
  4. Step 4: Simplify right side
    16,838.40x = 176,303,403.36
  5. Step 5: Solve for x
    x = 176,303,403.36/16,838.40
  6. Step 6: Final answer
    x = 10,470.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.