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Finding the Fourth Proportional to 12,468.80, 18,688.98 and 7,790.96

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Solution

The fourth proportional to 12,468.80, 18,688.98 and 7,790.96 is: 11,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.80 : 18,688.98 = 7,790.96 : x
  2. Step 2: Convert to fraction form
    12,468.80/18,688.98 = 7,790.96/x
  3. Step 3: Cross multiply
    12,468.80x = 18,688.98 × 7,790.96
  4. Step 4: Simplify right side
    12,468.80x = 145,605,095.62
  5. Step 5: Solve for x
    x = 145,605,095.62/12,468.80
  6. Step 6: Final answer
    x = 11,677.55

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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.