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Finding the Fourth Proportional to 13,421.93, 20,124 and 6,403.02

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Solution

The fourth proportional to 13,421.93, 20,124 and 6,403.02 is: 9,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.93 : 20,124 = 6,403.02 : x
  2. Step 2: Convert to fraction form
    13,421.93/20,124 = 6,403.02/x
  3. Step 3: Cross multiply
    13,421.93x = 20,124 × 6,403.02
  4. Step 4: Simplify right side
    13,421.93x = 128,854,412.21
  5. Step 5: Solve for x
    x = 128,854,412.21/13,421.93
  6. Step 6: Final answer
    x = 9,600.29

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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.