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Finding the Fourth Proportional to 38,295.75, 52,848.14 and 21,528.75

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Solution

The fourth proportional to 38,295.75, 52,848.14 and 21,528.75 is: 29,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.75 : 52,848.14 = 21,528.75 : x
  2. Step 2: Convert to fraction form
    38,295.75/52,848.14 = 21,528.75/x
  3. Step 3: Cross multiply
    38,295.75x = 52,848.14 × 21,528.75
  4. Step 4: Simplify right side
    38,295.75x = 1,137,754,394.03
  5. Step 5: Solve for x
    x = 1,137,754,394.03/38,295.75
  6. Step 6: Final answer
    x = 29,709.68

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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.