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Finding the Fourth Proportional to 13,485.84, 20,223.24 and 7,950.24

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Solution

The fourth proportional to 13,485.84, 20,223.24 and 7,950.24 is: 11,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.84 : 20,223.24 = 7,950.24 : x
  2. Step 2: Convert to fraction form
    13,485.84/20,223.24 = 7,950.24/x
  3. Step 3: Cross multiply
    13,485.84x = 20,223.24 × 7,950.24
  4. Step 4: Simplify right side
    13,485.84x = 160,779,611.58
  5. Step 5: Solve for x
    x = 160,779,611.58/13,485.84
  6. Step 6: Final answer
    x = 11,922.11

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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.