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Finding the Fourth Proportional to 9,866.63, 14,801.61 and 4,319.84

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Solution

The fourth proportional to 9,866.63, 14,801.61 and 4,319.84 is: 6,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.63 : 14,801.61 = 4,319.84 : x
  2. Step 2: Convert to fraction form
    9,866.63/14,801.61 = 4,319.84/x
  3. Step 3: Cross multiply
    9,866.63x = 14,801.61 × 4,319.84
  4. Step 4: Simplify right side
    9,866.63x = 63,940,512.93
  5. Step 5: Solve for x
    x = 63,940,512.93/9,866.63
  6. Step 6: Final answer
    x = 6,480.48

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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.