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Finding the Fourth Proportional to 19,645.40, 29,475.40 and 9,120.62

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Solution

The fourth proportional to 19,645.40, 29,475.40 and 9,120.62 is: 13,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.40 : 29,475.40 = 9,120.62 : x
  2. Step 2: Convert to fraction form
    19,645.40/29,475.40 = 9,120.62/x
  3. Step 3: Cross multiply
    19,645.40x = 29,475.40 × 9,120.62
  4. Step 4: Simplify right side
    19,645.40x = 268,833,922.75
  5. Step 5: Solve for x
    x = 268,833,922.75/19,645.40
  6. Step 6: Final answer
    x = 13,684.32

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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.