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Finding the Fourth Proportional to 2,602.06, 3,903.66 and 958.64

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Solution

The fourth proportional to 2,602.06, 3,903.66 and 958.64 is: 1,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,903.66 = 958.64 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,903.66 = 958.64/x
  3. Step 3: Cross multiply
    2,602.06x = 3,903.66 × 958.64
  4. Step 4: Simplify right side
    2,602.06x = 3,742,185.10
  5. Step 5: Solve for x
    x = 3,742,185.10/2,602.06
  6. Step 6: Final answer
    x = 1,438.16

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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.