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Finding the Fourth Proportional to 5,282, 7,289.16 and 3,186.32

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Solution

The fourth proportional to 5,282, 7,289.16 and 3,186.32 is: 4,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282 : 7,289.16 = 3,186.32 : x
  2. Step 2: Convert to fraction form
    5,282/7,289.16 = 3,186.32/x
  3. Step 3: Cross multiply
    5,282x = 7,289.16 × 3,186.32
  4. Step 4: Simplify right side
    5,282x = 23,225,596.29
  5. Step 5: Solve for x
    x = 23,225,596.29/5,282
  6. Step 6: Final answer
    x = 4,397.12

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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.