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Finding the Fourth Proportional to 5,386.02, 7,429.50 and 3,286.50

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Solution

The fourth proportional to 5,386.02, 7,429.50 and 3,286.50 is: 4,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.02 : 7,429.50 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    5,386.02/7,429.50 = 3,286.50/x
  3. Step 3: Cross multiply
    5,386.02x = 7,429.50 × 3,286.50
  4. Step 4: Simplify right side
    5,386.02x = 24,417,051.75
  5. Step 5: Solve for x
    x = 24,417,051.75/5,386.02
  6. Step 6: Final answer
    x = 4,533.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.