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Finding the Fourth Proportional to 2,402.15, 3,602.40 and 1,168.77

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Solution

The fourth proportional to 2,402.15, 3,602.40 and 1,168.77 is: 1,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.15 : 3,602.40 = 1,168.77 : x
  2. Step 2: Convert to fraction form
    2,402.15/3,602.40 = 1,168.77/x
  3. Step 3: Cross multiply
    2,402.15x = 3,602.40 × 1,168.77
  4. Step 4: Simplify right side
    2,402.15x = 4,210,377.05
  5. Step 5: Solve for x
    x = 4,210,377.05/2,402.15
  6. Step 6: Final answer
    x = 1,752.75

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