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Finding the Fourth Proportional to 21,383.74, 32,076.78 and 9,697.84

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Solution

The fourth proportional to 21,383.74, 32,076.78 and 9,697.84 is: 14,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.74 : 32,076.78 = 9,697.84 : x
  2. Step 2: Convert to fraction form
    21,383.74/32,076.78 = 9,697.84/x
  3. Step 3: Cross multiply
    21,383.74x = 32,076.78 × 9,697.84
  4. Step 4: Simplify right side
    21,383.74x = 311,075,480.16
  5. Step 5: Solve for x
    x = 311,075,480.16/21,383.74
  6. Step 6: Final answer
    x = 14,547.29

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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.