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Finding the Fourth Proportional to 21,657.80, 29,888.16 and 12,224.54

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Solution

The fourth proportional to 21,657.80, 29,888.16 and 12,224.54 is: 16,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.80 : 29,888.16 = 12,224.54 : x
  2. Step 2: Convert to fraction form
    21,657.80/29,888.16 = 12,224.54/x
  3. Step 3: Cross multiply
    21,657.80x = 29,888.16 × 12,224.54
  4. Step 4: Simplify right side
    21,657.80x = 365,369,007.45
  5. Step 5: Solve for x
    x = 365,369,007.45/21,657.80
  6. Step 6: Final answer
    x = 16,870.09

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1.5x scale

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.