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Finding the Fourth Proportional to 9,987.42, 13,783.92 and 8,305.94

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Solution

The fourth proportional to 9,987.42, 13,783.92 and 8,305.94 is: 11,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.42 : 13,783.92 = 8,305.94 : x
  2. Step 2: Convert to fraction form
    9,987.42/13,783.92 = 8,305.94/x
  3. Step 3: Cross multiply
    9,987.42x = 13,783.92 × 8,305.94
  4. Step 4: Simplify right side
    9,987.42x = 114,488,412.48
  5. Step 5: Solve for x
    x = 114,488,412.48/9,987.42
  6. Step 6: Final answer
    x = 11,463.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.