Home / 8,100-11,177.16-4,742.64

Finding the Fourth Proportional to 8,100, 11,177.16 and 4,742.64

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Solution

The fourth proportional to 8,100, 11,177.16 and 4,742.64 is: 6,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 11,177.16 = 4,742.64 : x
  2. Step 2: Convert to fraction form
    8,100/11,177.16 = 4,742.64/x
  3. Step 3: Cross multiply
    8,100x = 11,177.16 × 4,742.64
  4. Step 4: Simplify right side
    8,100x = 53,009,246.10
  5. Step 5: Solve for x
    x = 53,009,246.10/8,100
  6. Step 6: Final answer
    x = 6,544.35

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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.