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Finding the Fourth Proportional to 12,303.88, 18,468.12 and 6,472.78

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Solution

The fourth proportional to 12,303.88, 18,468.12 and 6,472.78 is: 9,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.88 : 18,468.12 = 6,472.78 : x
  2. Step 2: Convert to fraction form
    12,303.88/18,468.12 = 6,472.78/x
  3. Step 3: Cross multiply
    12,303.88x = 18,468.12 × 6,472.78
  4. Step 4: Simplify right side
    12,303.88x = 119,540,077.77
  5. Step 5: Solve for x
    x = 119,540,077.77/12,303.88
  6. Step 6: Final answer
    x = 9,715.64

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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.