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Finding the Fourth Proportional to 38,535, 57,802.50 and 9,351

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Solution

The fourth proportional to 38,535, 57,802.50 and 9,351 is: 14,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535 : 57,802.50 = 9,351 : x
  2. Step 2: Convert to fraction form
    38,535/57,802.50 = 9,351/x
  3. Step 3: Cross multiply
    38,535x = 57,802.50 × 9,351
  4. Step 4: Simplify right side
    38,535x = 540,511,177.50
  5. Step 5: Solve for x
    x = 540,511,177.50/38,535
  6. Step 6: Final answer
    x = 14,026.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.