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Finding the Fourth Proportional to 6,782.40, 9,340.56 and 5,831.28

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Solution

The fourth proportional to 6,782.40, 9,340.56 and 5,831.28 is: 8,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 9,340.56 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    6,782.40/9,340.56 = 5,831.28/x
  3. Step 3: Cross multiply
    6,782.40x = 9,340.56 × 5,831.28
  4. Step 4: Simplify right side
    6,782.40x = 54,467,420.72
  5. Step 5: Solve for x
    x = 54,467,420.72/6,782.40
  6. Step 6: Final answer
    x = 8,030.70

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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.