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Finding the Fourth Proportional to 9,487.82, 14,231.74 and 2,913.14

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Solution

The fourth proportional to 9,487.82, 14,231.74 and 2,913.14 is: 4,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.82 : 14,231.74 = 2,913.14 : x
  2. Step 2: Convert to fraction form
    9,487.82/14,231.74 = 2,913.14/x
  3. Step 3: Cross multiply
    9,487.82x = 14,231.74 × 2,913.14
  4. Step 4: Simplify right side
    9,487.82x = 41,459,051.06
  5. Step 5: Solve for x
    x = 41,459,051.06/9,487.82
  6. Step 6: Final answer
    x = 4,369.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.