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Finding the Fourth Proportional to 25,859.84, 38,788.98 and 7,141.02

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Solution

The fourth proportional to 25,859.84, 38,788.98 and 7,141.02 is: 10,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.84 : 38,788.98 = 7,141.02 : x
  2. Step 2: Convert to fraction form
    25,859.84/38,788.98 = 7,141.02/x
  3. Step 3: Cross multiply
    25,859.84x = 38,788.98 × 7,141.02
  4. Step 4: Simplify right side
    25,859.84x = 276,992,881.96
  5. Step 5: Solve for x
    x = 276,992,881.96/25,859.84
  6. Step 6: Final answer
    x = 10,711.31

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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.