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Finding the Fourth Proportional to 38,580, 53,240.40 and 21,816.24

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Solution

The fourth proportional to 38,580, 53,240.40 and 21,816.24 is: 30,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580 : 53,240.40 = 21,816.24 : x
  2. Step 2: Convert to fraction form
    38,580/53,240.40 = 21,816.24/x
  3. Step 3: Cross multiply
    38,580x = 53,240.40 × 21,816.24
  4. Step 4: Simplify right side
    38,580x = 1,161,505,344.10
  5. Step 5: Solve for x
    x = 1,161,505,344.10/38,580
  6. Step 6: Final answer
    x = 30,106.41

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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.