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Finding the Fourth Proportional to 7,740.76, 10,657.97 and 6,831.34

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Solution

The fourth proportional to 7,740.76, 10,657.97 and 6,831.34 is: 9,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.76 : 10,657.97 = 6,831.34 : x
  2. Step 2: Convert to fraction form
    7,740.76/10,657.97 = 6,831.34/x
  3. Step 3: Cross multiply
    7,740.76x = 10,657.97 × 6,831.34
  4. Step 4: Simplify right side
    7,740.76x = 72,808,216.78
  5. Step 5: Solve for x
    x = 72,808,216.78/7,740.76
  6. Step 6: Final answer
    x = 9,405.82

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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.