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Finding the Fourth Proportional to 3,594, 5,389.38 and 1,402.68

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Solution

The fourth proportional to 3,594, 5,389.38 and 1,402.68 is: 2,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594 : 5,389.38 = 1,402.68 : x
  2. Step 2: Convert to fraction form
    3,594/5,389.38 = 1,402.68/x
  3. Step 3: Cross multiply
    3,594x = 5,389.38 × 1,402.68
  4. Step 4: Simplify right side
    3,594x = 7,559,575.54
  5. Step 5: Solve for x
    x = 7,559,575.54/3,594
  6. Step 6: Final answer
    x = 2,103.39

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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.