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Finding the Fourth Proportional to 9,987.63, 14,984.43 and 2,967.87

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Solution

The fourth proportional to 9,987.63, 14,984.43 and 2,967.87 is: 4,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.63 : 14,984.43 = 2,967.87 : x
  2. Step 2: Convert to fraction form
    9,987.63/14,984.43 = 2,967.87/x
  3. Step 3: Cross multiply
    9,987.63x = 14,984.43 × 2,967.87
  4. Step 4: Simplify right side
    9,987.63x = 44,471,840.26
  5. Step 5: Solve for x
    x = 44,471,840.26/9,987.63
  6. Step 6: Final answer
    x = 4,452.69

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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.