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Finding the Fourth Proportional to 20,507.46, 30,746.61 and 9,821.58

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Solution

The fourth proportional to 20,507.46, 30,746.61 and 9,821.58 is: 14,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.46 : 30,746.61 = 9,821.58 : x
  2. Step 2: Convert to fraction form
    20,507.46/30,746.61 = 9,821.58/x
  3. Step 3: Cross multiply
    20,507.46x = 30,746.61 × 9,821.58
  4. Step 4: Simplify right side
    20,507.46x = 301,980,289.84
  5. Step 5: Solve for x
    x = 301,980,289.84/20,507.46
  6. Step 6: Final answer
    x = 14,725.39

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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.