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Finding the Fourth Proportional to 8,550.40, 12,809.76 and 4,658.08

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Solution

The fourth proportional to 8,550.40, 12,809.76 and 4,658.08 is: 6,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550.40 : 12,809.76 = 4,658.08 : x
  2. Step 2: Convert to fraction form
    8,550.40/12,809.76 = 4,658.08/x
  3. Step 3: Cross multiply
    8,550.40x = 12,809.76 × 4,658.08
  4. Step 4: Simplify right side
    8,550.40x = 59,668,886.86
  5. Step 5: Solve for x
    x = 59,668,886.86/8,550.40
  6. Step 6: Final answer
    x = 6,978.49

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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.