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Finding the Fourth Proportional to 7,838.80, 10,822.64 and 5,189.80

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Solution

The fourth proportional to 7,838.80, 10,822.64 and 5,189.80 is: 7,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.80 : 10,822.64 = 5,189.80 : x
  2. Step 2: Convert to fraction form
    7,838.80/10,822.64 = 5,189.80/x
  3. Step 3: Cross multiply
    7,838.80x = 10,822.64 × 5,189.80
  4. Step 4: Simplify right side
    7,838.80x = 56,167,337.07
  5. Step 5: Solve for x
    x = 56,167,337.07/7,838.80
  6. Step 6: Final answer
    x = 7,165.30

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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.