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Finding the Fourth Proportional to 7,756.66, 10,711.76 and 6,631.06

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Solution

The fourth proportional to 7,756.66, 10,711.76 and 6,631.06 is: 9,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.66 : 10,711.76 = 6,631.06 : x
  2. Step 2: Convert to fraction form
    7,756.66/10,711.76 = 6,631.06/x
  3. Step 3: Cross multiply
    7,756.66x = 10,711.76 × 6,631.06
  4. Step 4: Simplify right side
    7,756.66x = 71,030,323.27
  5. Step 5: Solve for x
    x = 71,030,323.27/7,756.66
  6. Step 6: Final answer
    x = 9,157.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.