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Finding the Fourth Proportional to 17,638.80, 24,341.28 and 9,681

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Solution

The fourth proportional to 17,638.80, 24,341.28 and 9,681 is: 13,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.80 : 24,341.28 = 9,681 : x
  2. Step 2: Convert to fraction form
    17,638.80/24,341.28 = 9,681/x
  3. Step 3: Cross multiply
    17,638.80x = 24,341.28 × 9,681
  4. Step 4: Simplify right side
    17,638.80x = 235,647,931.68
  5. Step 5: Solve for x
    x = 235,647,931.68/17,638.80
  6. Step 6: Final answer
    x = 13,359.64

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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.