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Finding the Fourth Proportional to 21,706.25, 29,953.80 and 12,275.01

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Solution

The fourth proportional to 21,706.25, 29,953.80 and 12,275.01 is: 16,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.25 : 29,953.80 = 12,275.01 : x
  2. Step 2: Convert to fraction form
    21,706.25/29,953.80 = 12,275.01/x
  3. Step 3: Cross multiply
    21,706.25x = 29,953.80 × 12,275.01
  4. Step 4: Simplify right side
    21,706.25x = 367,683,194.54
  5. Step 5: Solve for x
    x = 367,683,194.54/21,706.25
  6. Step 6: Final answer
    x = 16,939.05

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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.