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Finding the Fourth Proportional to 9,143.10, 13,714.65 and 2,217.60

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Solution

The fourth proportional to 9,143.10, 13,714.65 and 2,217.60 is: 3,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.10 : 13,714.65 = 2,217.60 : x
  2. Step 2: Convert to fraction form
    9,143.10/13,714.65 = 2,217.60/x
  3. Step 3: Cross multiply
    9,143.10x = 13,714.65 × 2,217.60
  4. Step 4: Simplify right side
    9,143.10x = 30,413,607.84
  5. Step 5: Solve for x
    x = 30,413,607.84/9,143.10
  6. Step 6: Final answer
    x = 3,326.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.