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Finding the Fourth Proportional to 7,780.50, 11,670.76 and 2,308.50

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Solution

The fourth proportional to 7,780.50, 11,670.76 and 2,308.50 is: 3,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.50 : 11,670.76 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    7,780.50/11,670.76 = 2,308.50/x
  3. Step 3: Cross multiply
    7,780.50x = 11,670.76 × 2,308.50
  4. Step 4: Simplify right side
    7,780.50x = 26,941,949.46
  5. Step 5: Solve for x
    x = 26,941,949.46/7,780.50
  6. Step 6: Final answer
    x = 3,462.75

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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.