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Finding the Fourth Proportional to 25,719, 38,580.66 and 7,251

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Solution

The fourth proportional to 25,719, 38,580.66 and 7,251 is: 10,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,719 : 38,580.66 = 7,251 : x
  2. Step 2: Convert to fraction form
    25,719/38,580.66 = 7,251/x
  3. Step 3: Cross multiply
    25,719x = 38,580.66 × 7,251
  4. Step 4: Simplify right side
    25,719x = 279,748,365.66
  5. Step 5: Solve for x
    x = 279,748,365.66/25,719
  6. Step 6: Final answer
    x = 10,877.11

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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.