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Finding the Fourth Proportional to 7,764.06, 10,712.07 and 7,015.62

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Solution

The fourth proportional to 7,764.06, 10,712.07 and 7,015.62 is: 9,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.06 : 10,712.07 = 7,015.62 : x
  2. Step 2: Convert to fraction form
    7,764.06/10,712.07 = 7,015.62/x
  3. Step 3: Cross multiply
    7,764.06x = 10,712.07 × 7,015.62
  4. Step 4: Simplify right side
    7,764.06x = 75,151,812.53
  5. Step 5: Solve for x
    x = 75,151,812.53/7,764.06
  6. Step 6: Final answer
    x = 9,679.45

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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.