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Finding the Fourth Proportional to 21,962.64, 32,952.60 and 9,642

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Solution

The fourth proportional to 21,962.64, 32,952.60 and 9,642 is: 14,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.64 : 32,952.60 = 9,642 : x
  2. Step 2: Convert to fraction form
    21,962.64/32,952.60 = 9,642/x
  3. Step 3: Cross multiply
    21,962.64x = 32,952.60 × 9,642
  4. Step 4: Simplify right side
    21,962.64x = 317,728,969.20
  5. Step 5: Solve for x
    x = 317,728,969.20/21,962.64
  6. Step 6: Final answer
    x = 14,466.79

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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.