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Finding the Fourth Proportional to 28,584.40, 42,881.64 and 9,866.44

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Solution

The fourth proportional to 28,584.40, 42,881.64 and 9,866.44 is: 14,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,584.40 : 42,881.64 = 9,866.44 : x
  2. Step 2: Convert to fraction form
    28,584.40/42,881.64 = 9,866.44/x
  3. Step 3: Cross multiply
    28,584.40x = 42,881.64 × 9,866.44
  4. Step 4: Simplify right side
    28,584.40x = 423,089,128.16
  5. Step 5: Solve for x
    x = 423,089,128.16/28,584.40
  6. Step 6: Final answer
    x = 14,801.40

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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.