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Finding the Fourth Proportional to 8,468.24, 12,646.09 and 8,376.74

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Solution

The fourth proportional to 8,468.24, 12,646.09 and 8,376.74 is: 12,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.24 : 12,646.09 = 8,376.74 : x
  2. Step 2: Convert to fraction form
    8,468.24/12,646.09 = 8,376.74/x
  3. Step 3: Cross multiply
    8,468.24x = 12,646.09 × 8,376.74
  4. Step 4: Simplify right side
    8,468.24x = 105,933,007.95
  5. Step 5: Solve for x
    x = 105,933,007.95/8,468.24
  6. Step 6: Final answer
    x = 12,509.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.