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Finding the Fourth Proportional to 17,428, 26,142 and 5,116

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Solution

The fourth proportional to 17,428, 26,142 and 5,116 is: 7,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428 : 26,142 = 5,116 : x
  2. Step 2: Convert to fraction form
    17,428/26,142 = 5,116/x
  3. Step 3: Cross multiply
    17,428x = 26,142 × 5,116
  4. Step 4: Simplify right side
    17,428x = 133,742,472
  5. Step 5: Solve for x
    x = 133,742,472/17,428
  6. Step 6: Final answer
    x = 7,674

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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.