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Finding the Fourth Proportional to 12,465.42, 18,700.68 and 5,069.82

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Solution

The fourth proportional to 12,465.42, 18,700.68 and 5,069.82 is: 7,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.42 : 18,700.68 = 5,069.82 : x
  2. Step 2: Convert to fraction form
    12,465.42/18,700.68 = 5,069.82/x
  3. Step 3: Cross multiply
    12,465.42x = 18,700.68 × 5,069.82
  4. Step 4: Simplify right side
    12,465.42x = 94,809,081.48
  5. Step 5: Solve for x
    x = 94,809,081.48/12,465.42
  6. Step 6: Final answer
    x = 7,605.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.