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Finding the Fourth Proportional to 9,205.63, 12,703.91 and 5,013.88

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Solution

The fourth proportional to 9,205.63, 12,703.91 and 5,013.88 is: 6,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.63 : 12,703.91 = 5,013.88 : x
  2. Step 2: Convert to fraction form
    9,205.63/12,703.91 = 5,013.88/x
  3. Step 3: Cross multiply
    9,205.63x = 12,703.91 × 5,013.88
  4. Step 4: Simplify right side
    9,205.63x = 63,695,880.27
  5. Step 5: Solve for x
    x = 63,695,880.27/9,205.63
  6. Step 6: Final answer
    x = 6,919.23

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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.