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Finding the Fourth Proportional to 2,420.86, 3,602.35 and 2,412.66

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Solution

The fourth proportional to 2,420.86, 3,602.35 and 2,412.66 is: 3,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.86 : 3,602.35 = 2,412.66 : x
  2. Step 2: Convert to fraction form
    2,420.86/3,602.35 = 2,412.66/x
  3. Step 3: Cross multiply
    2,420.86x = 3,602.35 × 2,412.66
  4. Step 4: Simplify right side
    2,420.86x = 8,691,245.36
  5. Step 5: Solve for x
    x = 8,691,245.36/2,420.86
  6. Step 6: Final answer
    x = 3,590.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.