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Finding the Fourth Proportional to 4,971.32, 7,458.38 and 1,684.67

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Solution

The fourth proportional to 4,971.32, 7,458.38 and 1,684.67 is: 2,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.32 : 7,458.38 = 1,684.67 : x
  2. Step 2: Convert to fraction form
    4,971.32/7,458.38 = 1,684.67/x
  3. Step 3: Cross multiply
    4,971.32x = 7,458.38 × 1,684.67
  4. Step 4: Simplify right side
    4,971.32x = 12,564,869.64
  5. Step 5: Solve for x
    x = 12,564,869.64/4,971.32
  6. Step 6: Final answer
    x = 2,527.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.