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Finding the Fourth Proportional to 21,496.64, 29,657.76 and 14,048.96

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Solution

The fourth proportional to 21,496.64, 29,657.76 and 14,048.96 is: 19,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.64 : 29,657.76 = 14,048.96 : x
  2. Step 2: Convert to fraction form
    21,496.64/29,657.76 = 14,048.96/x
  3. Step 3: Cross multiply
    21,496.64x = 29,657.76 × 14,048.96
  4. Step 4: Simplify right side
    21,496.64x = 416,660,683.93
  5. Step 5: Solve for x
    x = 416,660,683.93/21,496.64
  6. Step 6: Final answer
    x = 19,382.60

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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.