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Finding the Fourth Proportional to 7,804.80, 11,710.08 and 5,726.88

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Solution

The fourth proportional to 7,804.80, 11,710.08 and 5,726.88 is: 8,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.80 : 11,710.08 = 5,726.88 : x
  2. Step 2: Convert to fraction form
    7,804.80/11,710.08 = 5,726.88/x
  3. Step 3: Cross multiply
    7,804.80x = 11,710.08 × 5,726.88
  4. Step 4: Simplify right side
    7,804.80x = 67,062,222.95
  5. Step 5: Solve for x
    x = 67,062,222.95/7,804.80
  6. Step 6: Final answer
    x = 8,592.43

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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.