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Finding the Fourth Proportional to 7,829.39, 10,740.19 and 7,405.68

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Solution

The fourth proportional to 7,829.39, 10,740.19 and 7,405.68 is: 10,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.39 : 10,740.19 = 7,405.68 : x
  2. Step 2: Convert to fraction form
    7,829.39/10,740.19 = 7,405.68/x
  3. Step 3: Cross multiply
    7,829.39x = 10,740.19 × 7,405.68
  4. Step 4: Simplify right side
    7,829.39x = 79,538,391.77
  5. Step 5: Solve for x
    x = 79,538,391.77/7,829.39
  6. Step 6: Final answer
    x = 10,158.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.