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Finding the Fourth Proportional to 13,079.68, 18,038 and 9,730.88

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Solution

The fourth proportional to 13,079.68, 18,038 and 9,730.88 is: 13,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079.68 : 18,038 = 9,730.88 : x
  2. Step 2: Convert to fraction form
    13,079.68/18,038 = 9,730.88/x
  3. Step 3: Cross multiply
    13,079.68x = 18,038 × 9,730.88
  4. Step 4: Simplify right side
    13,079.68x = 175,525,613.44
  5. Step 5: Solve for x
    x = 175,525,613.44/13,079.68
  6. Step 6: Final answer
    x = 13,419.72

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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.