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Finding the Fourth Proportional to 3,507.68, 5,264.59 and 1,427.67

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Solution

The fourth proportional to 3,507.68, 5,264.59 and 1,427.67 is: 2,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.68 : 5,264.59 = 1,427.67 : x
  2. Step 2: Convert to fraction form
    3,507.68/5,264.59 = 1,427.67/x
  3. Step 3: Cross multiply
    3,507.68x = 5,264.59 × 1,427.67
  4. Step 4: Simplify right side
    3,507.68x = 7,516,090.07
  5. Step 5: Solve for x
    x = 7,516,090.07/3,507.68
  6. Step 6: Final answer
    x = 2,142.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.