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Finding the Fourth Proportional to 25,187.94, 37,780.54 and 7,656.40

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Solution

The fourth proportional to 25,187.94, 37,780.54 and 7,656.40 is: 11,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.94 : 37,780.54 = 7,656.40 : x
  2. Step 2: Convert to fraction form
    25,187.94/37,780.54 = 7,656.40/x
  3. Step 3: Cross multiply
    25,187.94x = 37,780.54 × 7,656.40
  4. Step 4: Simplify right side
    25,187.94x = 289,262,859.05
  5. Step 5: Solve for x
    x = 289,262,859.05/25,187.94
  6. Step 6: Final answer
    x = 11,484.18

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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.