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Finding the Fourth Proportional to 11,890.66, 16,407.74 and 6,854.84

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Solution

The fourth proportional to 11,890.66, 16,407.74 and 6,854.84 is: 9,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.66 : 16,407.74 = 6,854.84 : x
  2. Step 2: Convert to fraction form
    11,890.66/16,407.74 = 6,854.84/x
  3. Step 3: Cross multiply
    11,890.66x = 16,407.74 × 6,854.84
  4. Step 4: Simplify right side
    11,890.66x = 112,472,432.46
  5. Step 5: Solve for x
    x = 112,472,432.46/11,890.66
  6. Step 6: Final answer
    x = 9,458.89

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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.