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Finding the Fourth Proportional to 11,427.68, 15,777.08 and 7,455.68

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Solution

The fourth proportional to 11,427.68, 15,777.08 and 7,455.68 is: 10,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.68 : 15,777.08 = 7,455.68 : x
  2. Step 2: Convert to fraction form
    11,427.68/15,777.08 = 7,455.68/x
  3. Step 3: Cross multiply
    11,427.68x = 15,777.08 × 7,455.68
  4. Step 4: Simplify right side
    11,427.68x = 117,628,859.81
  5. Step 5: Solve for x
    x = 117,628,859.81/11,427.68
  6. Step 6: Final answer
    x = 10,293.33

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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.