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Finding the Fourth Proportional to 28,701.76, 43,051.44 and 9,986.04

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Solution

The fourth proportional to 28,701.76, 43,051.44 and 9,986.04 is: 14,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,701.76 : 43,051.44 = 9,986.04 : x
  2. Step 2: Convert to fraction form
    28,701.76/43,051.44 = 9,986.04/x
  3. Step 3: Cross multiply
    28,701.76x = 43,051.44 × 9,986.04
  4. Step 4: Simplify right side
    28,701.76x = 429,913,401.90
  5. Step 5: Solve for x
    x = 429,913,401.90/28,701.76
  6. Step 6: Final answer
    x = 14,978.64

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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.