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Finding the Fourth Proportional to 16,880, 23,294.40 and 9,428

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Solution

The fourth proportional to 16,880, 23,294.40 and 9,428 is: 13,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880 : 23,294.40 = 9,428 : x
  2. Step 2: Convert to fraction form
    16,880/23,294.40 = 9,428/x
  3. Step 3: Cross multiply
    16,880x = 23,294.40 × 9,428
  4. Step 4: Simplify right side
    16,880x = 219,619,603.20
  5. Step 5: Solve for x
    x = 219,619,603.20/16,880
  6. Step 6: Final answer
    x = 13,010.64

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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.