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Finding the Fourth Proportional to 21,459, 29,606.90 and 13,509.16

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Solution

The fourth proportional to 21,459, 29,606.90 and 13,509.16 is: 18,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459 : 29,606.90 = 13,509.16 : x
  2. Step 2: Convert to fraction form
    21,459/29,606.90 = 13,509.16/x
  3. Step 3: Cross multiply
    21,459x = 29,606.90 × 13,509.16
  4. Step 4: Simplify right side
    21,459x = 399,964,349.20
  5. Step 5: Solve for x
    x = 399,964,349.20/21,459
  6. Step 6: Final answer
    x = 18,638.54

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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.