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Finding the Fourth Proportional to 28,700.82, 43,058.16 and 9,978.14

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Solution

The fourth proportional to 28,700.82, 43,058.16 and 9,978.14 is: 14,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,700.82 : 43,058.16 = 9,978.14 : x
  2. Step 2: Convert to fraction form
    28,700.82/43,058.16 = 9,978.14/x
  3. Step 3: Cross multiply
    28,700.82x = 43,058.16 × 9,978.14
  4. Step 4: Simplify right side
    28,700.82x = 429,640,348.62
  5. Step 5: Solve for x
    x = 429,640,348.62/28,700.82
  6. Step 6: Final answer
    x = 14,969.62

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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.