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Finding the Fourth Proportional to 13,603.68, 20,419.29 and 9,429.30

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Solution

The fourth proportional to 13,603.68, 20,419.29 and 9,429.30 is: 14,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.68 : 20,419.29 = 9,429.30 : x
  2. Step 2: Convert to fraction form
    13,603.68/20,419.29 = 9,429.30/x
  3. Step 3: Cross multiply
    13,603.68x = 20,419.29 × 9,429.30
  4. Step 4: Simplify right side
    13,603.68x = 192,539,611.20
  5. Step 5: Solve for x
    x = 192,539,611.20/13,603.68
  6. Step 6: Final answer
    x = 14,153.49

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1.5x scale

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.