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Finding the Fourth Proportional to 2,602.64, 3,905.40 and 1,064.72

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Solution

The fourth proportional to 2,602.64, 3,905.40 and 1,064.72 is: 1,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.64 : 3,905.40 = 1,064.72 : x
  2. Step 2: Convert to fraction form
    2,602.64/3,905.40 = 1,064.72/x
  3. Step 3: Cross multiply
    2,602.64x = 3,905.40 × 1,064.72
  4. Step 4: Simplify right side
    2,602.64x = 4,158,157.49
  5. Step 5: Solve for x
    x = 4,158,157.49/2,602.64
  6. Step 6: Final answer
    x = 1,597.67

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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.