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Finding the Fourth Proportional to 7,977.76, 11,007.28 and 5,323.36

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Solution

The fourth proportional to 7,977.76, 11,007.28 and 5,323.36 is: 7,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.76 : 11,007.28 = 5,323.36 : x
  2. Step 2: Convert to fraction form
    7,977.76/11,007.28 = 5,323.36/x
  3. Step 3: Cross multiply
    7,977.76x = 11,007.28 × 5,323.36
  4. Step 4: Simplify right side
    7,977.76x = 58,595,714.06
  5. Step 5: Solve for x
    x = 58,595,714.06/7,977.76
  6. Step 6: Final answer
    x = 7,344.88

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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.