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Finding the Fourth Proportional to 16,963.38, 23,409 and 9,409.68

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Solution

The fourth proportional to 16,963.38, 23,409 and 9,409.68 is: 12,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.38 : 23,409 = 9,409.68 : x
  2. Step 2: Convert to fraction form
    16,963.38/23,409 = 9,409.68/x
  3. Step 3: Cross multiply
    16,963.38x = 23,409 × 9,409.68
  4. Step 4: Simplify right side
    16,963.38x = 220,271,199.12
  5. Step 5: Solve for x
    x = 220,271,199.12/16,963.38
  6. Step 6: Final answer
    x = 12,985.10

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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.