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Finding the Fourth Proportional to 25,347.96, 38,024.10 and 7,821.72

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Solution

The fourth proportional to 25,347.96, 38,024.10 and 7,821.72 is: 11,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.96 : 38,024.10 = 7,821.72 : x
  2. Step 2: Convert to fraction form
    25,347.96/38,024.10 = 7,821.72/x
  3. Step 3: Cross multiply
    25,347.96x = 38,024.10 × 7,821.72
  4. Step 4: Simplify right side
    25,347.96x = 297,413,863.45
  5. Step 5: Solve for x
    x = 297,413,863.45/25,347.96
  6. Step 6: Final answer
    x = 11,733.25

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