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Finding the Fourth Proportional to 10,405.80, 15,608.70 and 5,209.80

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Solution

The fourth proportional to 10,405.80, 15,608.70 and 5,209.80 is: 7,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.80 : 15,608.70 = 5,209.80 : x
  2. Step 2: Convert to fraction form
    10,405.80/15,608.70 = 5,209.80/x
  3. Step 3: Cross multiply
    10,405.80x = 15,608.70 × 5,209.80
  4. Step 4: Simplify right side
    10,405.80x = 81,318,205.26
  5. Step 5: Solve for x
    x = 81,318,205.26/10,405.80
  6. Step 6: Final answer
    x = 7,814.70

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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.