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Finding the Fourth Proportional to 47,393.68, 65,406 and 28,536.88

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Solution

The fourth proportional to 47,393.68, 65,406 and 28,536.88 is: 39,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.68 : 65,406 = 28,536.88 : x
  2. Step 2: Convert to fraction form
    47,393.68/65,406 = 28,536.88/x
  3. Step 3: Cross multiply
    47,393.68x = 65,406 × 28,536.88
  4. Step 4: Simplify right side
    47,393.68x = 1,866,483,173.28
  5. Step 5: Solve for x
    x = 1,866,483,173.28/47,393.68
  6. Step 6: Final answer
    x = 39,382.53

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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.