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Finding the Fourth Proportional to 9,428, 14,142 and 3,272

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Solution

The fourth proportional to 9,428, 14,142 and 3,272 is: 4,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428 : 14,142 = 3,272 : x
  2. Step 2: Convert to fraction form
    9,428/14,142 = 3,272/x
  3. Step 3: Cross multiply
    9,428x = 14,142 × 3,272
  4. Step 4: Simplify right side
    9,428x = 46,272,624
  5. Step 5: Solve for x
    x = 46,272,624/9,428
  6. Step 6: Final answer
    x = 4,908

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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.