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Finding the Fourth Proportional to 16,963.68, 23,409 and 9,409.38

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Solution

The fourth proportional to 16,963.68, 23,409 and 9,409.38 is: 12,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.68 : 23,409 = 9,409.38 : x
  2. Step 2: Convert to fraction form
    16,963.68/23,409 = 9,409.38/x
  3. Step 3: Cross multiply
    16,963.68x = 23,409 × 9,409.38
  4. Step 4: Simplify right side
    16,963.68x = 220,264,176.42
  5. Step 5: Solve for x
    x = 220,264,176.42/16,963.68
  6. Step 6: Final answer
    x = 12,984.46

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1.5x scale

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.