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Finding the Fourth Proportional to 12,463.60, 18,651.48 and 7,785.81

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Solution

The fourth proportional to 12,463.60, 18,651.48 and 7,785.81 is: 11,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.60 : 18,651.48 = 7,785.81 : x
  2. Step 2: Convert to fraction form
    12,463.60/18,651.48 = 7,785.81/x
  3. Step 3: Cross multiply
    12,463.60x = 18,651.48 × 7,785.81
  4. Step 4: Simplify right side
    12,463.60x = 145,216,946.55
  5. Step 5: Solve for x
    x = 145,216,946.55/12,463.60
  6. Step 6: Final answer
    x = 11,651.29

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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.