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Finding the Fourth Proportional to 25,310.52, 37,966.39 and 7,780.50

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Solution

The fourth proportional to 25,310.52, 37,966.39 and 7,780.50 is: 11,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.52 : 37,966.39 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    25,310.52/37,966.39 = 7,780.50/x
  3. Step 3: Cross multiply
    25,310.52x = 37,966.39 × 7,780.50
  4. Step 4: Simplify right side
    25,310.52x = 295,397,477.94
  5. Step 5: Solve for x
    x = 295,397,477.94/25,310.52
  6. Step 6: Final answer
    x = 11,670.94

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1.5x scale

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.