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Finding the Fourth Proportional to 21,573, 29,762.66 and 12,617.64

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Solution

The fourth proportional to 21,573, 29,762.66 and 12,617.64 is: 17,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 29,762.66 = 12,617.64 : x
  2. Step 2: Convert to fraction form
    21,573/29,762.66 = 12,617.64/x
  3. Step 3: Cross multiply
    21,573x = 29,762.66 × 12,617.64
  4. Step 4: Simplify right side
    21,573x = 375,534,529.32
  5. Step 5: Solve for x
    x = 375,534,529.32/21,573
  6. Step 6: Final answer
    x = 17,407.62

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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.