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Finding the Fourth Proportional to 5,716, 7,891.32 and 4,316.32

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Solution

The fourth proportional to 5,716, 7,891.32 and 4,316.32 is: 5,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716 : 7,891.32 = 4,316.32 : x
  2. Step 2: Convert to fraction form
    5,716/7,891.32 = 4,316.32/x
  3. Step 3: Cross multiply
    5,716x = 7,891.32 × 4,316.32
  4. Step 4: Simplify right side
    5,716x = 34,061,462.34
  5. Step 5: Solve for x
    x = 34,061,462.34/5,716
  6. Step 6: Final answer
    x = 5,958.97

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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.