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Finding the Fourth Proportional to 9,717.12, 14,573.88 and 2,790

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Solution

The fourth proportional to 9,717.12, 14,573.88 and 2,790 is: 4,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.12 : 14,573.88 = 2,790 : x
  2. Step 2: Convert to fraction form
    9,717.12/14,573.88 = 2,790/x
  3. Step 3: Cross multiply
    9,717.12x = 14,573.88 × 2,790
  4. Step 4: Simplify right side
    9,717.12x = 40,661,125.20
  5. Step 5: Solve for x
    x = 40,661,125.20/9,717.12
  6. Step 6: Final answer
    x = 4,184.48

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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.