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Finding the Fourth Proportional to 20,465.61, 30,698.42 and 9,207.80

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Solution

The fourth proportional to 20,465.61, 30,698.42 and 9,207.80 is: 13,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.61 : 30,698.42 = 9,207.80 : x
  2. Step 2: Convert to fraction form
    20,465.61/30,698.42 = 9,207.80/x
  3. Step 3: Cross multiply
    20,465.61x = 30,698.42 × 9,207.80
  4. Step 4: Simplify right side
    20,465.61x = 282,664,712.14
  5. Step 5: Solve for x
    x = 282,664,712.14/20,465.61
  6. Step 6: Final answer
    x = 13,811.70

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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.