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Finding the Fourth Proportional to 7,777.58, 10,733.08 and 4,240.80

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Solution

The fourth proportional to 7,777.58, 10,733.08 and 4,240.80 is: 5,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.58 : 10,733.08 = 4,240.80 : x
  2. Step 2: Convert to fraction form
    7,777.58/10,733.08 = 4,240.80/x
  3. Step 3: Cross multiply
    7,777.58x = 10,733.08 × 4,240.80
  4. Step 4: Simplify right side
    7,777.58x = 45,516,845.66
  5. Step 5: Solve for x
    x = 45,516,845.66/7,777.58
  6. Step 6: Final answer
    x = 5,852.31

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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.