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Finding the Fourth Proportional to 12,550, 18,808.74 and 9,405.40

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Solution

The fourth proportional to 12,550, 18,808.74 and 9,405.40 is: 14,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550 : 18,808.74 = 9,405.40 : x
  2. Step 2: Convert to fraction form
    12,550/18,808.74 = 9,405.40/x
  3. Step 3: Cross multiply
    12,550x = 18,808.74 × 9,405.40
  4. Step 4: Simplify right side
    12,550x = 176,903,723.20
  5. Step 5: Solve for x
    x = 176,903,723.20/12,550
  6. Step 6: Final answer
    x = 14,095.91

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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.