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Finding the Fourth Proportional to 38,508, 53,138.16 and 21,740.64

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Solution

The fourth proportional to 38,508, 53,138.16 and 21,740.64 is: 30,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508 : 53,138.16 = 21,740.64 : x
  2. Step 2: Convert to fraction form
    38,508/53,138.16 = 21,740.64/x
  3. Step 3: Cross multiply
    38,508x = 53,138.16 × 21,740.64
  4. Step 4: Simplify right side
    38,508x = 1,155,257,606.82
  5. Step 5: Solve for x
    x = 1,155,257,606.82/38,508
  6. Step 6: Final answer
    x = 30,000.46

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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.