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Finding the Fourth Proportional to 9,457, 14,188.38 and 3,301

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Solution

The fourth proportional to 9,457, 14,188.38 and 3,301 is: 4,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457 : 14,188.38 = 3,301 : x
  2. Step 2: Convert to fraction form
    9,457/14,188.38 = 3,301/x
  3. Step 3: Cross multiply
    9,457x = 14,188.38 × 3,301
  4. Step 4: Simplify right side
    9,457x = 46,835,842.38
  5. Step 5: Solve for x
    x = 46,835,842.38/9,457
  6. Step 6: Final answer
    x = 4,952.51

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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.