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Finding the Fourth Proportional to 7,824, 10,778.80 and 5,461.92

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Solution

The fourth proportional to 7,824, 10,778.80 and 5,461.92 is: 7,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 10,778.80 = 5,461.92 : x
  2. Step 2: Convert to fraction form
    7,824/10,778.80 = 5,461.92/x
  3. Step 3: Cross multiply
    7,824x = 10,778.80 × 5,461.92
  4. Step 4: Simplify right side
    7,824x = 58,872,943.30
  5. Step 5: Solve for x
    x = 58,872,943.30/7,824
  6. Step 6: Final answer
    x = 7,524.66

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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.