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Finding the Fourth Proportional to 3,530.86, 5,296.47 and 1,339.77

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Solution

The fourth proportional to 3,530.86, 5,296.47 and 1,339.77 is: 2,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.86 : 5,296.47 = 1,339.77 : x
  2. Step 2: Convert to fraction form
    3,530.86/5,296.47 = 1,339.77/x
  3. Step 3: Cross multiply
    3,530.86x = 5,296.47 × 1,339.77
  4. Step 4: Simplify right side
    3,530.86x = 7,096,051.61
  5. Step 5: Solve for x
    x = 7,096,051.61/3,530.86
  6. Step 6: Final answer
    x = 2,009.72

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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.