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Finding the Fourth Proportional to 21,383.65, 32,056.03 and 9,690.49

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Solution

The fourth proportional to 21,383.65, 32,056.03 and 9,690.49 is: 14,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.65 : 32,056.03 = 9,690.49 : x
  2. Step 2: Convert to fraction form
    21,383.65/32,056.03 = 9,690.49/x
  3. Step 3: Cross multiply
    21,383.65x = 32,056.03 × 9,690.49
  4. Step 4: Simplify right side
    21,383.65x = 310,638,638.15
  5. Step 5: Solve for x
    x = 310,638,638.15/21,383.65
  6. Step 6: Final answer
    x = 14,526.92

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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.