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Finding the Fourth Proportional to 21,457, 29,608.26 and 12,024.20

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Solution

The fourth proportional to 21,457, 29,608.26 and 12,024.20 is: 16,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457 : 29,608.26 = 12,024.20 : x
  2. Step 2: Convert to fraction form
    21,457/29,608.26 = 12,024.20/x
  3. Step 3: Cross multiply
    21,457x = 29,608.26 × 12,024.20
  4. Step 4: Simplify right side
    21,457x = 356,015,639.89
  5. Step 5: Solve for x
    x = 356,015,639.89/21,457
  6. Step 6: Final answer
    x = 16,592.05

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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.