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Finding the Fourth Proportional to 11,653.61, 16,081.98 and 6,348.47

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Solution

The fourth proportional to 11,653.61, 16,081.98 and 6,348.47 is: 8,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.61 : 16,081.98 = 6,348.47 : x
  2. Step 2: Convert to fraction form
    11,653.61/16,081.98 = 6,348.47/x
  3. Step 3: Cross multiply
    11,653.61x = 16,081.98 × 6,348.47
  4. Step 4: Simplify right side
    11,653.61x = 102,095,967.57
  5. Step 5: Solve for x
    x = 102,095,967.57/11,653.61
  6. Step 6: Final answer
    x = 8,760.89

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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.