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Finding the Fourth Proportional to 6,320.88, 8,721.76 and 3,802.40

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Solution

The fourth proportional to 6,320.88, 8,721.76 and 3,802.40 is: 5,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.88 : 8,721.76 = 3,802.40 : x
  2. Step 2: Convert to fraction form
    6,320.88/8,721.76 = 3,802.40/x
  3. Step 3: Cross multiply
    6,320.88x = 8,721.76 × 3,802.40
  4. Step 4: Simplify right side
    6,320.88x = 33,163,620.22
  5. Step 5: Solve for x
    x = 33,163,620.22/6,320.88
  6. Step 6: Final answer
    x = 5,246.68

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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.