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Finding the Fourth Proportional to 7,984.80, 11,018.16 and 4,957.92

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Solution

The fourth proportional to 7,984.80, 11,018.16 and 4,957.92 is: 6,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.80 : 11,018.16 = 4,957.92 : x
  2. Step 2: Convert to fraction form
    7,984.80/11,018.16 = 4,957.92/x
  3. Step 3: Cross multiply
    7,984.80x = 11,018.16 × 4,957.92
  4. Step 4: Simplify right side
    7,984.80x = 54,627,155.83
  5. Step 5: Solve for x
    x = 54,627,155.83/7,984.80
  6. Step 6: Final answer
    x = 6,841.39

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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.