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Finding the Fourth Proportional to 5,740.72, 7,926.86 and 4,678.64

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Solution

The fourth proportional to 5,740.72, 7,926.86 and 4,678.64 is: 6,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.72 : 7,926.86 = 4,678.64 : x
  2. Step 2: Convert to fraction form
    5,740.72/7,926.86 = 4,678.64/x
  3. Step 3: Cross multiply
    5,740.72x = 7,926.86 × 4,678.64
  4. Step 4: Simplify right side
    5,740.72x = 37,086,924.27
  5. Step 5: Solve for x
    x = 37,086,924.27/5,740.72
  6. Step 6: Final answer
    x = 6,460.33

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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.