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Finding the Fourth Proportional to 7,829.49, 10,780.74 and 7,202.55

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Solution

The fourth proportional to 7,829.49, 10,780.74 and 7,202.55 is: 9,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.49 : 10,780.74 = 7,202.55 : x
  2. Step 2: Convert to fraction form
    7,829.49/10,780.74 = 7,202.55/x
  3. Step 3: Cross multiply
    7,829.49x = 10,780.74 × 7,202.55
  4. Step 4: Simplify right side
    7,829.49x = 77,648,818.89
  5. Step 5: Solve for x
    x = 77,648,818.89/7,829.49
  6. Step 6: Final answer
    x = 9,917.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.