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Finding the Fourth Proportional to 38,625, 53,303.14 and 20,961

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Solution

The fourth proportional to 38,625, 53,303.14 and 20,961 is: 28,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,625 : 53,303.14 = 20,961 : x
  2. Step 2: Convert to fraction form
    38,625/53,303.14 = 20,961/x
  3. Step 3: Cross multiply
    38,625x = 53,303.14 × 20,961
  4. Step 4: Simplify right side
    38,625x = 1,117,287,117.54
  5. Step 5: Solve for x
    x = 1,117,287,117.54/38,625
  6. Step 6: Final answer
    x = 28,926.53

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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.