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Finding the Fourth Proportional to 38,409.64, 53,007.30 and 21,644.20

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Solution

The fourth proportional to 38,409.64, 53,007.30 and 21,644.20 is: 29,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.64 : 53,007.30 = 21,644.20 : x
  2. Step 2: Convert to fraction form
    38,409.64/53,007.30 = 21,644.20/x
  3. Step 3: Cross multiply
    38,409.64x = 53,007.30 × 21,644.20
  4. Step 4: Simplify right side
    38,409.64x = 1,147,300,602.66
  5. Step 5: Solve for x
    x = 1,147,300,602.66/38,409.64
  6. Step 6: Final answer
    x = 29,870.12

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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.