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Finding the Fourth Proportional to 12,477, 18,742.80 and 9,211.08

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Solution

The fourth proportional to 12,477, 18,742.80 and 9,211.08 is: 13,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477 : 18,742.80 = 9,211.08 : x
  2. Step 2: Convert to fraction form
    12,477/18,742.80 = 9,211.08/x
  3. Step 3: Cross multiply
    12,477x = 18,742.80 × 9,211.08
  4. Step 4: Simplify right side
    12,477x = 172,641,430.22
  5. Step 5: Solve for x
    x = 172,641,430.22/12,477
  6. Step 6: Final answer
    x = 13,836.77

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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.