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Finding the Fourth Proportional to 12,651.66, 18,963.99 and 6,416.28

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Solution

The fourth proportional to 12,651.66, 18,963.99 and 6,416.28 is: 9,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.66 : 18,963.99 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    12,651.66/18,963.99 = 6,416.28/x
  3. Step 3: Cross multiply
    12,651.66x = 18,963.99 × 6,416.28
  4. Step 4: Simplify right side
    12,651.66x = 121,678,269.76
  5. Step 5: Solve for x
    x = 121,678,269.76/12,651.66
  6. Step 6: Final answer
    x = 9,617.57

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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.