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Finding the Fourth Proportional to 8,928.51, 13,381.97 and 6,446.13

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Solution

The fourth proportional to 8,928.51, 13,381.97 and 6,446.13 is: 9,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.51 : 13,381.97 = 6,446.13 : x
  2. Step 2: Convert to fraction form
    8,928.51/13,381.97 = 6,446.13/x
  3. Step 3: Cross multiply
    8,928.51x = 13,381.97 × 6,446.13
  4. Step 4: Simplify right side
    8,928.51x = 86,261,886.05
  5. Step 5: Solve for x
    x = 86,261,886.05/8,928.51
  6. Step 6: Final answer
    x = 9,661.40

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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.