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Finding the Fourth Proportional to 11,830.47, 16,326.86 and 6,862.47

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Solution

The fourth proportional to 11,830.47, 16,326.86 and 6,862.47 is: 9,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.47 : 16,326.86 = 6,862.47 : x
  2. Step 2: Convert to fraction form
    11,830.47/16,326.86 = 6,862.47/x
  3. Step 3: Cross multiply
    11,830.47x = 16,326.86 × 6,862.47
  4. Step 4: Simplify right side
    11,830.47x = 112,042,586.94
  5. Step 5: Solve for x
    x = 112,042,586.94/11,830.47
  6. Step 6: Final answer
    x = 9,470.68

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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.