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Finding the Fourth Proportional to 7,840.80, 10,814.73 and 4,858.05

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Solution

The fourth proportional to 7,840.80, 10,814.73 and 4,858.05 is: 6,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.80 : 10,814.73 = 4,858.05 : x
  2. Step 2: Convert to fraction form
    7,840.80/10,814.73 = 4,858.05/x
  3. Step 3: Cross multiply
    7,840.80x = 10,814.73 × 4,858.05
  4. Step 4: Simplify right side
    7,840.80x = 52,538,499.08
  5. Step 5: Solve for x
    x = 52,538,499.08/7,840.80
  6. Step 6: Final answer
    x = 6,700.66

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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.