Home / 7,784.64-10,743.10-4,427.76

Finding the Fourth Proportional to 7,784.64, 10,743.10 and 4,427.76

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Solution

The fourth proportional to 7,784.64, 10,743.10 and 4,427.76 is: 6,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.64 : 10,743.10 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    7,784.64/10,743.10 = 4,427.76/x
  3. Step 3: Cross multiply
    7,784.64x = 10,743.10 × 4,427.76
  4. Step 4: Simplify right side
    7,784.64x = 47,567,868.46
  5. Step 5: Solve for x
    x = 47,567,868.46/7,784.64
  6. Step 6: Final answer
    x = 6,110.48

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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.