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Finding the Fourth Proportional to 7,756.61, 11,634.76 and 2,209.99

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Solution

The fourth proportional to 7,756.61, 11,634.76 and 2,209.99 is: 3,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.61 : 11,634.76 = 2,209.99 : x
  2. Step 2: Convert to fraction form
    7,756.61/11,634.76 = 2,209.99/x
  3. Step 3: Cross multiply
    7,756.61x = 11,634.76 × 2,209.99
  4. Step 4: Simplify right side
    7,756.61x = 25,712,703.25
  5. Step 5: Solve for x
    x = 25,712,703.25/7,756.61
  6. Step 6: Final answer
    x = 3,314.94

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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.