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Finding the Fourth Proportional to 28,187.82, 42,286.53 and 9,715.50

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Solution

The fourth proportional to 28,187.82, 42,286.53 and 9,715.50 is: 14,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,187.82 : 42,286.53 = 9,715.50 : x
  2. Step 2: Convert to fraction form
    28,187.82/42,286.53 = 9,715.50/x
  3. Step 3: Cross multiply
    28,187.82x = 42,286.53 × 9,715.50
  4. Step 4: Simplify right side
    28,187.82x = 410,834,782.22
  5. Step 5: Solve for x
    x = 410,834,782.22/28,187.82
  6. Step 6: Final answer
    x = 14,574.90

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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.