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Finding the Fourth Proportional to 7,713.76, 11,556.72 and 6,488.80

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Solution

The fourth proportional to 7,713.76, 11,556.72 and 6,488.80 is: 9,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.76 : 11,556.72 = 6,488.80 : x
  2. Step 2: Convert to fraction form
    7,713.76/11,556.72 = 6,488.80/x
  3. Step 3: Cross multiply
    7,713.76x = 11,556.72 × 6,488.80
  4. Step 4: Simplify right side
    7,713.76x = 74,989,244.74
  5. Step 5: Solve for x
    x = 74,989,244.74/7,713.76
  6. Step 6: Final answer
    x = 9,721.49

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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.