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Finding the Fourth Proportional to 9,205.79, 12,703.10 and 6,225.66

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Solution

The fourth proportional to 9,205.79, 12,703.10 and 6,225.66 is: 8,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.79 : 12,703.10 = 6,225.66 : x
  2. Step 2: Convert to fraction form
    9,205.79/12,703.10 = 6,225.66/x
  3. Step 3: Cross multiply
    9,205.79x = 12,703.10 × 6,225.66
  4. Step 4: Simplify right side
    9,205.79x = 79,085,150.42
  5. Step 5: Solve for x
    x = 79,085,150.42/9,205.79
  6. Step 6: Final answer
    x = 8,590.81

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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.