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Finding the Fourth Proportional to 28,502.35, 42,754.39 and 9,782.12

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Solution

The fourth proportional to 28,502.35, 42,754.39 and 9,782.12 is: 14,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,502.35 : 42,754.39 = 9,782.12 : x
  2. Step 2: Convert to fraction form
    28,502.35/42,754.39 = 9,782.12/x
  3. Step 3: Cross multiply
    28,502.35x = 42,754.39 × 9,782.12
  4. Step 4: Simplify right side
    28,502.35x = 418,228,655.94
  5. Step 5: Solve for x
    x = 418,228,655.94/28,502.35
  6. Step 6: Final answer
    x = 14,673.48

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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.