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Finding the Fourth Proportional to 10,690.68, 14,743.54 and 8,904.09

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Solution

The fourth proportional to 10,690.68, 14,743.54 and 8,904.09 is: 12,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.68 : 14,743.54 = 8,904.09 : x
  2. Step 2: Convert to fraction form
    10,690.68/14,743.54 = 8,904.09/x
  3. Step 3: Cross multiply
    10,690.68x = 14,743.54 × 8,904.09
  4. Step 4: Simplify right side
    10,690.68x = 131,277,807.08
  5. Step 5: Solve for x
    x = 131,277,807.08/10,690.68
  6. Step 6: Final answer
    x = 12,279.65

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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.