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Finding the Fourth Proportional to 12,362.05, 18,538.08 and 7,675.12

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Solution

The fourth proportional to 12,362.05, 18,538.08 and 7,675.12 is: 11,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.05 : 18,538.08 = 7,675.12 : x
  2. Step 2: Convert to fraction form
    12,362.05/18,538.08 = 7,675.12/x
  3. Step 3: Cross multiply
    12,362.05x = 18,538.08 × 7,675.12
  4. Step 4: Simplify right side
    12,362.05x = 142,281,988.57
  5. Step 5: Solve for x
    x = 142,281,988.57/12,362.05
  6. Step 6: Final answer
    x = 11,509.58

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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.