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Finding the Fourth Proportional to 11,369.86, 15,690.44 and 7,397.72

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Solution

The fourth proportional to 11,369.86, 15,690.44 and 7,397.72 is: 10,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.86 : 15,690.44 = 7,397.72 : x
  2. Step 2: Convert to fraction form
    11,369.86/15,690.44 = 7,397.72/x
  3. Step 3: Cross multiply
    11,369.86x = 15,690.44 × 7,397.72
  4. Step 4: Simplify right side
    11,369.86x = 116,073,484.03
  5. Step 5: Solve for x
    x = 116,073,484.03/11,369.86
  6. Step 6: Final answer
    x = 10,208.88

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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.