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Finding the Fourth Proportional to 7,577.58, 11,411.99 and 6,711

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Solution

The fourth proportional to 7,577.58, 11,411.99 and 6,711 is: 10,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.58 : 11,411.99 = 6,711 : x
  2. Step 2: Convert to fraction form
    7,577.58/11,411.99 = 6,711/x
  3. Step 3: Cross multiply
    7,577.58x = 11,411.99 × 6,711
  4. Step 4: Simplify right side
    7,577.58x = 76,585,831.34
  5. Step 5: Solve for x
    x = 76,585,831.34/7,577.58
  6. Step 6: Final answer
    x = 10,106.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.