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Finding the Fourth Proportional to 5,387.78, 7,426.67 and 4,935.80

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Solution

The fourth proportional to 5,387.78, 7,426.67 and 4,935.80 is: 6,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.78 : 7,426.67 = 4,935.80 : x
  2. Step 2: Convert to fraction form
    5,387.78/7,426.67 = 4,935.80/x
  3. Step 3: Cross multiply
    5,387.78x = 7,426.67 × 4,935.80
  4. Step 4: Simplify right side
    5,387.78x = 36,656,533.11
  5. Step 5: Solve for x
    x = 36,656,533.11/5,387.78
  6. Step 6: Final answer
    x = 6,803.64

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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.