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Finding the Fourth Proportional to 7,103.96, 9,807.54 and 5,412.08

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Solution

The fourth proportional to 7,103.96, 9,807.54 and 5,412.08 is: 7,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.96 : 9,807.54 = 5,412.08 : x
  2. Step 2: Convert to fraction form
    7,103.96/9,807.54 = 5,412.08/x
  3. Step 3: Cross multiply
    7,103.96x = 9,807.54 × 5,412.08
  4. Step 4: Simplify right side
    7,103.96x = 53,079,191.08
  5. Step 5: Solve for x
    x = 53,079,191.08/7,103.96
  6. Step 6: Final answer
    x = 7,471.78

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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.