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Finding the Fourth Proportional to 22,056, 30,438.72 and 13,678.08

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Solution

The fourth proportional to 22,056, 30,438.72 and 13,678.08 is: 18,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056 : 30,438.72 = 13,678.08 : x
  2. Step 2: Convert to fraction form
    22,056/30,438.72 = 13,678.08/x
  3. Step 3: Cross multiply
    22,056x = 30,438.72 × 13,678.08
  4. Step 4: Simplify right side
    22,056x = 416,343,247.26
  5. Step 5: Solve for x
    x = 416,343,247.26/22,056
  6. Step 6: Final answer
    x = 18,876.64

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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.