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Finding the Fourth Proportional to 9,770.70, 14,646.72 and 4,218.54

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Solution

The fourth proportional to 9,770.70, 14,646.72 and 4,218.54 is: 6,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.70 : 14,646.72 = 4,218.54 : x
  2. Step 2: Convert to fraction form
    9,770.70/14,646.72 = 4,218.54/x
  3. Step 3: Cross multiply
    9,770.70x = 14,646.72 × 4,218.54
  4. Step 4: Simplify right side
    9,770.70x = 61,787,774.19
  5. Step 5: Solve for x
    x = 61,787,774.19/9,770.70
  6. Step 6: Final answer
    x = 6,323.78

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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.